List questions from initial-value-problems

Published on 22 Mar 2026 - 19:46

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Solving initial value problem related to a given function using Euler's method

Published on 23 Mar 2026 - 1:28

86

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Evaluating $y(1)$ in the initial value problem $\dot y = ty + \sin y , y(0)=10^{-2}$

Published on 23 Mar 2026 - 2:33

61

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2nd Order Non-Homogeneous Initial Value Equation with real repeated roots $x''-2x'+x=e^{2t}$

Published on 23 Mar 2026 - 11:08

291

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Power Series Solution

Published on 23 Mar 2026 - 8:07

595

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show that the function $f(x)=\frac{e^{-x}}{1+t^2}$ satisfies Lipschitz condition

Published on 23 Mar 2026 - 7:27

649

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Method of Characteristics: Characteristic Curve Question

Published on 25 Mar 2026 - 5:19

199

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How to solve 2nd order inhomogeneous ODE with Green function?

Published on 22 Mar 2026 - 15:11

2.4k

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Solving a Cauchy Problem using Method of Characteristics

Published on 25 Mar 2026 - 0:41

1.2k

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Conversion of second order ode into integral equation

Published on 23 Mar 2026 - 11:15

177

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regular Cauchy data for wave equation

Published on 25 Mar 2026 - 5:58

86

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Solving a first order inhomogeneous ODE: $x'-e^{at}=ax$

Published on 22 Mar 2026 - 21:05

687

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Verify that that the initial value problem $y'=2\sqrt{y} \ \ , y(0)=0$ has two two different solutions $y_1(x)=x^2$ and $y_2(x)=0$.

Published on 23 Mar 2026 - 13:26

58

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Why a DE solution must have certain properties

Published on 23 Mar 2026 - 13:29

51

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Finding solution to differential equation

Published on 22 Mar 2026 - 18:49

List Question

Any idea how to solve the following coupled diffeq?

Solving initial value problem related to a given function using Euler's method

Evaluating $y(1)$ in the initial value problem $\dot y = ty + \sin y , y(0)=10^{-2}$

2nd Order Non-Homogeneous Initial Value Equation with real repeated roots $x''-2x'+x=e^{2t}$

Power Series Solution

show that the function $f(x)=\frac{e^{-x}}{1+t^2}$ satisfies Lipschitz condition

Method of Characteristics: Characteristic Curve Question

How to solve 2nd order inhomogeneous ODE with Green function?

Solving a Cauchy Problem using Method of Characteristics

Conversion of second order ode into integral equation

regular Cauchy data for wave equation

Solving a first order inhomogeneous ODE: $x'-e^{at}=ax$

Verify that that the initial value problem $y'=2\sqrt{y} \ \ , y(0)=0$ has two two different solutions $y_1(x)=x^2$ and $y_2(x)=0$.

Why a DE solution must have certain properties

Finding solution to differential equation

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