List questions from initial-value-problems

Published on 21 May 2021 - 18:37

38

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Poles of $f$ when considering $\dot{x} = f(x)$.

Published on 21 May 2021 - 19:12

89

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Later shocks in Riemann problem

Published on 25 Mar 2026 - 20:33

116

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Green function of ODE and checking uniqueness of solution

Published on 28 Mar 2026 - 23:57

265

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Solution of first order linear differential equation, initial value problem

Published on 07 Jun 2021 - 20:30

56

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How to prove that the biggest solution of $\dot x(t)=\frac{c}{1-\varepsilon} x(t)^\varepsilon$ is $x(t)=(ct)^{1/(1-\varepsilon)}$?

Published on 08 Jun 2021 - 13:35

99

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Solving advection-diffusion equation $ P_t (x,t) = DP_{xx} -V P_x$ for $P_t(x,t=0)=-V\delta'(x)$.

Published on 12 Jun 2021 - 2:25

40

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Questions regarding the following initial value problem

Published on 20 Jun 2021 - 20:57

114

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How would I solve an IVP using Laplace transform if some initial values are not given?

Published on 23 Jun 2021 - 7:22

155

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Show the consistency order of a given LMM is 3

Published on 28 Mar 2026 - 5:22

422

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The initial value problem $x= tx' - (x')^3$, $x(3) = -2$.

Published on 27 Jun 2021 - 16:42

58

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Solve $x^2u_{xx}-u_{yy}= -2x$

Published on 28 Jun 2021 - 0:54

175

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Solving Linear delay differential equation initial value problem

Published on 28 Mar 2026 - 15:19

57

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The initial value problem

Published on 05 Jul 2021 - 4:14

137

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Change of variables in differential equations, specifically moving initial condition to origin

Published on 30 Mar 2026 - 5:32

List Question

Solution of first order differential equation with integral type initial condition

Poles of $f$ when considering $\dot{x} = f(x)$.

Later shocks in Riemann problem

Green function of ODE and checking uniqueness of solution

Solution of first order linear differential equation, initial value problem

How to prove that the biggest solution of $\dot x(t)=\frac{c}{1-\varepsilon} x(t)^\varepsilon$ is $x(t)=(ct)^{1/(1-\varepsilon)}$?

Solving advection-diffusion equation $ P_t (x,t) = DP_{xx} -V P_x$ for $P_t(x,t=0)=-V\delta'(x)$.

Questions regarding the following initial value problem

How would I solve an IVP using Laplace transform if some initial values are not given?

Show the consistency order of a given LMM is 3

The initial value problem $x= tx' - (x')^3$, $x(3) = -2$.

Solve $x^2u_{xx}-u_{yy}= -2x$

Solving Linear delay differential equation initial value problem

The initial value problem

Change of variables in differential equations, specifically moving initial condition to origin

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