List questions from ordinary-differential-equations

Published on 09 Apr 2026 - 1:59

255

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Sensitivity (gradient) of function solved using RK4

Published on 09 Apr 2026 - 0:25

833

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$f'(x)=af(x) \Rightarrow f(x)=e^{ax} f(0)$

Published on 09 Apr 2026 - 13:06

33

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$u \cdot u_y = 0 \implies (u^2)_y = 0$

Published on 17 Jan 2018 - 14:48

229

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How to solve this integral with separation of variables?

Published on 09 Apr 2026 - 14:03

52

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Very basic formula question

Published on 10 Apr 2026 - 1:27

388

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How do I sum Green's functions to get an approximate solution?

Published on 09 Apr 2026 - 0:04

2.6k

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Show that $e^{xy}+y=x-1$ is an implicit solution to the differential equation $\frac{dy}{dx} = \frac{e^{-xy}-y}{e^{-xy}+x}$

Published on 09 Apr 2026 - 0:33

1.1k

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What is the integrating factor for $xdy + y(x+1)dx =0 $?

Published on 18 Jan 2018 - 1:34

1.8k

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Numerically solve complex differential equation

Published on 09 Apr 2026 - 1:38

740

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DE with integrable combinations

Published on 26 Mar 2026 - 22:51

649

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In a directional slope field, how can a straight line be a solution to a differential equation?

Published on 08 Apr 2026 - 22:33

82

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Solving $y''+\dfrac{\varepsilon y'}{y^2} - y' = 0, \, y(-\infty)=1$ and $y(\infty) = \varepsilon$

Published on 09 Apr 2026 - 3:38

47

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2nd order ODE w/o power series

Published on 27 Mar 2026 - 4:00

381

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Prove the solution of first order ODE is sum of homogeneous and particular solution

Published on 18 Jan 2018 - 12:43

List Question

What is the physical interpretation of homogeneous?

Sensitivity (gradient) of function solved using RK4

$f'(x)=af(x) \Rightarrow f(x)=e^{ax} f(0)$

$u \cdot u_y = 0 \implies (u^2)_y = 0$

How to solve this integral with separation of variables?

Very basic formula question

How do I sum Green's functions to get an approximate solution?

Show that $e^{xy}+y=x-1$ is an implicit solution to the differential equation $\frac{dy}{dx} = \frac{e^{-xy}-y}{e^{-xy}+x}$

What is the integrating factor for $xdy + y(x+1)dx =0 $?

Numerically solve complex differential equation

DE with integrable combinations

In a directional slope field, how can a straight line be a solution to a differential equation?

Solving $y''+\dfrac{\varepsilon y'}{y^2} - y' = 0, \, y(-\infty)=1$ and $y(\infty) = \varepsilon$

2nd order ODE w/o power series

Prove the solution of first order ODE is sum of homogeneous and particular solution

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