Recent questions tagged differential - MathsGee Q&A

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Determine the domain of each of the following. \(f(x)=2 x^3+4 x^2+6\)

asked Aug 26 in Mathematics by MathsGee Platinum (97.9k points) | 16 views

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What is a differential equation model of control system?

asked Jul 31 in Physics & Chemistry by MathsGee Platinum (97.9k points) | 55 views

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Explain what is going on and solve the problem

asked May 13 in 3D Printing by MathsGee Platinum (97.9k points) | 76 views

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Solve \(x^4-1=0\)

asked May 13 in Mathematics by MathsGee Platinum (97.9k points) | 80 views

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How do you calculate the Bessel function of the second kind?

asked Mar 29 in Mathematics by MathsGee Platinum (97.9k points) | 210 views

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How do you calculate the Bessel function of the first kind?

asked Mar 29 in Mathematics by MathsGee Platinum (97.9k points) | 216 views

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Write down the bessel function as a second-order differential equation

asked Mar 29 in Mathematics by MathsGee Platinum (97.9k points) | 156 views

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Solve for \(x\) in the equation \(2^x=32\)

asked Mar 23 in Mathematics by MathsGee Platinum (97.9k points) | 173 views

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Which function, \(f\) or \(g\), has the equation \(y=a^x\) ?

asked Jan 30 in Mathematics by AstraNova Diamond (55.5k points) | 98 views

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What is a Green's theorem?

asked Jan 27 in Mathematics by AstraNova Diamond (55.5k points) | 136 views

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What is a partial differential equation?

asked Jan 27 in Mathematics by AstraNova Diamond (55.5k points) | 159 views

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What is a differential?

asked Jan 27 in Mathematics by AstraNova Diamond (55.5k points) | 71 views

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What is a differential equation?

asked Jan 27 in Mathematics by AstraNova Diamond (55.5k points) | 150 views

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Find the general solution of each of the following equations:

asked Jan 24 in Mathematics by AstraNova Diamond (55.5k points) | 109 views

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What is the inverse function of \(g(x)=\left(\frac{1}{2}\right)^x\)

asked Jan 22 in Mathematics by MathsGee Platinum (97.9k points) | 120 views

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Define an inverse function

asked Jan 22 in Mathematics by MathsGee Platinum (97.9k points) | 149 views

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Find the particular solution of the initial value problem $y' + y = 2e^x, y(0) = 0$.

asked Jan 10 in Mathematics by MathsGee Platinum (97.9k points) | 116 views

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Solve the initial value problem $y' + 2y = 3x^2, y(0) = 1$.

asked Jan 10 in Mathematics by MathsGee Platinum (97.9k points) | 157 views

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Find the general solution of the differential equation $y'' + 4y' + 4y = 0$.

asked Jan 10 in Mathematics by MathsGee Platinum (97.9k points) | 137 views

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Solve the initial value problem $y' = y^2, y(0) = 1$.

asked Jan 10 in Mathematics by MathsGee Platinum (97.9k points) | 124 views

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Solve the log equation $\log_{1/2} 1/8 = x$

asked Jan 2 in Mathematics by MathsGee Platinum (97.9k points) | 125 views

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Solve $\log_e 2 = x$

asked Jan 2 in Mathematics by MathsGee Platinum (97.9k points) | 131 views

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Solve $\log_{10} 100 = x$

asked Jan 2 in Mathematics by MathsGee Platinum (97.9k points) | 71 views

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Solve the equation $\log_2 8 = x$

asked Jan 2 in Mathematics by MathsGee Platinum (97.9k points) | 103 views

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The domain of the function \(f(x)=\sin ^{-1}\left(\frac{|x|+5}{x^2+1}\right)\) is \((-\infty,-a] \cup[a, \infty)\), Then a is equal to:

asked Nov 29, 2022 in Mathematics by Maths Genie Bronze Status (8.8k points) | 130 views

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If \(|x|<1,|y|<1\) and \(x \neq y\), then the sum to infinity of the following series \((x+y)+\left(x^2+x y+y^2\right)+\left(x^3+x^2 y+\right.\) \(\left.x y^2+y^3\right)+\ldots .\). is :

asked Nov 29, 2022 in Mathematics by Maths Genie Bronze Status (8.8k points) | 124 views

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Let \(y=y(x)\) be the solution of the differential equation, \(\frac{2+\sin x}{y+1} \cdot \frac{d y}{d x}=-\cos x, y>0, y(0)=1\). If \(y(\pi)=a\) and \(\frac{d y}{d x}\) at \(x=\pi\) is \(b\), then the ordered pair \((a, b)\) is equal to :

asked Nov 29, 2022 in Mathematics by Maths Genie Bronze Status (8.8k points) | 125 views

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If the tangent to the curve \(y=x+\) siny at a point \((a, b)\) is parallel to the line joining \(\left(0, \frac{3}{2}\right)\) and \(\left(\frac{1}{2}, 2\right)\), then

asked Nov 29, 2022 in Mathematics by Maths Genie Bronze Status (8.8k points) | 134 views

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A line parallel to the straight line \(2 x-y=0\) is tangent to the hyperbola \(\frac{x^2}{4}-\frac{y^2}{2}=1\) at the point \(\left(x_1, y_1\right)\). Then \(x_1^2+5 y_1^2\) is equal to:

asked Nov 29, 2022 in Mathematics by Maths Genie Bronze Status (8.8k points) | 142 views

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Consider the longer structure \(A \rightarrow B<C<-D \rightarrow E\). What do you expect about marginal/conditional (in)dependence of A and E ? Explain.

asked Nov 28, 2022 in Data Science & Statistics by MathsGee Platinum (97.9k points) | 156 views

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Consider the longer structure \(\quad A<-B<-C \rightarrow D\). What do you expect about marginal/conditional (in)dependence of A and D ? Explain.

asked Nov 28, 2022 in Data Science & Statistics by MathsGee Platinum (97.9k points) | 148 views

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Solve the following equation by inspection: \(7 x=91\)

asked Nov 27, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 133 views

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Complete: The values of \(x\) in the equation \((x+1)(2 x-1)=0\) are..

asked Nov 27, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 72 views

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What kind of number is \(-0, \dot{2}\) ?

asked Nov 27, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 112 views

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Given the linear equation \(2x-8=0\). Solve it.

asked Nov 23, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 146 views

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What are linear equations?

asked Nov 23, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 191 views

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What does the equation \(\frac{d^2 y}{d t^2}=-k y\), with \(k>0\) represent?

asked Nov 22, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 151 views

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Solve \(x^2 y^{\prime \prime}+x y^{\prime}+\left(x^2-\frac{1}{4}\right) y=0\) (a special case of Bessel's equation) for \(x>0\).

asked Nov 4, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 350 views

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Prove \(|u-v| \geq|| u|-| v||\).

asked Nov 1, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 150 views

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Find a solution to the equation \(x^2-2 x-2007 y^2=0\) in positive integers.

asked Sep 23, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 118 views

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Find two complex numbers in the form \(a+\mathrm{i} b\), where \(a, b \in \mathbb{R}, a \neq 0, b \neq 0\), for which \(f(z)=0\).

asked Sep 13, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 131 views

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\[ z=\frac{a+3 \mathrm{i}}{2+a \mathrm{i}}, \quad a \in \mathbb{R} . \] Given that \(a=4\), find \(|z|\).

asked Sep 13, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 129 views

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Given that \(3+\mathrm{i}\) is a root of the equation \(\mathrm{f}(x)=0\), where \[ \mathrm{f}(x)=2 x^3+a x^2+b x-10, \quad a, b \in \mathbb{R} \]

asked Sep 13, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 139 views

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Given that \(1+3 \mathrm{i}\) is a root of the equation \(z^3+6 z+20=0\)

asked Sep 13, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 89 views

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Given that 2 and \(5+2 \mathrm{i}\) are roots of the equation \[ x^3-12 x^3+c x+d=0, \quad c, d \in \mathbb{R} \]

asked Sep 13, 2022 in Mathematics by MathsGee Platinum (97.9k points) | 142 views

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\(\mathrm{T} / \mathrm{F}\) : The Quotient Rule states that \(\frac{d}{d x}\left(\frac{x^2}{\sin x}\right)=\frac{\cos x}{2 x}\).

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.5k points) | 139 views

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T/F: The Product Rule states that \(\frac{d}{d x}\left(x^2 \sin x\right)=2 x \cos x\).

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.5k points) | 121 views

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Give an example of a function where \(f^{\prime}(x) \neq 0\) and \(f^{\prime \prime}(x)=\) \(0 .\)

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.5k points) | 182 views

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Give an example of a function \(f(x)\) where \(f^{\prime}(x)=0\).

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.5k points) | 152 views

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Give an example of a function \(f(x)\) where \(f^{\prime}(x)=f(x)\)

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.5k points) | 134 views

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Recent questions tagged differential