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Two possible particular solutions

score 151 · Answer 1 · 2026-04-11 07:52:34

151

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Two possible particular solutions

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score 180 · Answer 2 · 2026-04-13 04:01:19

180

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How to solve this differential equation: $\rho \frac{\partial u}{\partial t}+au+bu^3+c(\frac{\partial u}{\partial x})^2=0$

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score 232 · Answer 3 · 2026-04-21 15:26:06

232

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Runge-Kutta 4 should be precise for second order polynomial solutions

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score 68 · Answer 4 · 2026-04-14 19:37:55

68

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Formal solution of $ -[(1-x^2)y']' = \mu y + f(x)$

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score 812 · Answer 5 · 2026-04-13 11:08:57

812

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Why are power series centered around 0

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score 72 · Answer 6 · 2026-04-16 15:24:27

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score 114 · Answer 7 · 2026-04-16 09:44:10

114

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score 53 · Answer 8 · 2026-04-29 18:18:13

53

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Show with only elementary methods that the ODE $f(x)=f'(x), f(0)= 0$ has only the constant function as solution

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score 146 · Answer 9 · 2026-04-28 13:03:54

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score 66 · Answer 11 · 2026-04-11 18:13:57

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score 131 · Answer 12 · 2026-03-25 06:01:23

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score 1.1k · Answer 14 · 2026-04-13 01:46:50

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score 128 · Answer 15 · 2026-04-14 07:22:32

128

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Derive a seventh order power series representation of the general solution to Airy's equation $y^n(x)=xy(x)$

Published on 14 Apr 2026 - 7:22

List Question

Two possible particular solutions

How to solve this differential equation: $\rho \frac{\partial u}{\partial t}+au+bu^3+c(\frac{\partial u}{\partial x})^2=0$

Runge-Kutta 4 should be precise for second order polynomial solutions

Formal solution of $ -[(1-x^2)y']' = \mu y + f(x)$

Why are power series centered around 0

Derivating $\frac {d^2y}{dt^2}$ using $x,y,t$

On the solution to the equation $\dfrac{1}{2} f'' = f^3 - f$

Show with only elementary methods that the ODE $f(x)=f'(x), f(0)= 0$ has only the constant function as solution

Theory for general fractional differintegral equations?

Solutions to $f(x) = \nabla f(x)\cdot x$

set up (do not solve) a differential equation that represent this system

How to numerically solve this nonlinear differential equation with partial initial boundary condition and partial terminal boundary condition?

Do systems resonate at specific frequencies due to orthogonality of sinusoids?

Differential equation with a Fourier Series

Derive a seventh order power series representation of the general solution to Airy's equation $y^n(x)=xy(x)$

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