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Recent questions and answers in Ordinary Differential Equation (ODE)
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GATE2019 CE1: 44
Consider the ordinary differential equation $x^2 \dfrac{d^2y}{dx^2} – 2x \dfrac{dy}{dx} +2y=0$. Given the values of $y(1)=0$ and $y(2)=2$, the value of $y(3)$ (round off to $1$ decimal place), is _________
asked
Feb 14
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Ordinary Differential Equation (ODE)
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Arjun
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gate2019ce1
differentialequation
numericalanswers
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GATE2019 CE2: 28
An ordinary differential equation is given below; $\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$ The solution for the above equation is (Note: $K$ denotes a constant in the options) $y=K x \text{ ln } x$ $y=K x e^x$ $y=K x e^{x}$ $y=K \text{ ln } x$
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Feb 12
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Ordinary Differential Equation (ODE)
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gate2019ce2
differentialequation
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GATE2015128
Consider the following differential equation: $x(y\:dx +x\:dy) \cos \frac{y}{x}=y(x\:dyy\:dx) \sin \frac{y}{x}$ Which of the following is the solution of the above equation ($c$ is an arbitrary constant)? $\frac{x}{y} \cos \frac{y}{x} = c$ $\frac{x}{y} \sin \frac{y}{x} = c$ $xy \cos \frac{y}{x} = c$ $xy \sin \frac{y}{x} = c$
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Mar 26, 2018
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Ordinary Differential Equation (ODE)
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Milicevic3306
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gate2015ce1
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GATE2018 CE1: 38
The solution (up to three decimal places) at $x=1$ of the differential equation $\frac{d^2y}{dx^2} + 2 \frac{dy}{dx} + y =0$ subject to boundary conditions $y(0) = 1$ and $\frac{dy}{dx}(0) = 1$ is _____
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Feb 18, 2018
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Ordinary Differential Equation (ODE)
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pushpendratiwari1011
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gate2018ce1
differentialequation
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GATE2018 CE2: 1
The solution of the equation $x \frac{dy}{dx} +y = 0$ passing through the point $(1,1)$ is $x$ $x^2$ $x^{1}$ $x^{2}$
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Feb 17, 2018
in
Ordinary Differential Equation (ODE)
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gatecse
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gate2018ce2
differentialequation
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