List questions from initial-value-problems

Published on 09 Aug 2019 - 22:04

1.4k

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Find the series solution of the IVP $y''+3xy'+3y=0, y(0)=2, y'(0)=3$

Published on 11 Aug 2019 - 19:36

854

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Wave equation with piecewise-defined Cauchy data

Published on 25 Mar 2026 - 5:19

133

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Initial Value Problem, lipschitz constant

Published on 14 Aug 2019 - 21:37

920

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Solve the initial value problem $xyy' + xy' = 1$ and $y(1) = 0$

Published on 15 Aug 2019 - 2:33

124

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initial value problem $y'=-y^2, y(1)= \sqrt{2}$

Published on 16 Aug 2019 - 20:59

450

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Modelling infectious diseases without Immunization not yielding intuitive answer

Published on 20 Aug 2019 - 23:24

415

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Analytical solution to the 1D wave equation with perodic boundary condition

Published on 25 Mar 2026 - 21:47

31

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I need helping solving this Inital Value problem!

Published on 24 Aug 2019 - 14:43

46

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What makes an extremum independent of the integration interval?

Published on 26 Mar 2026 - 4:34

99

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How to solve the following initial value problem?

Published on 03 Sep 2019 - 5:39

76

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IVP of $u_t=(2x+y)u_x+(x+2y)u_y$ and the method of characteristics

Published on 25 Mar 2026 - 19:32

35

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Initial Value Problem $\frac{dx}{dt}=f(t,x),x(\tau)=\xi$ Equivalent to Integral Equation $x(t)=\xi+\int_{\tau}^{t}f(s,x(s))ds$.

Published on 05 Sep 2019 - 17:04

619

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Question about the proof of the Picard–Lindelöf theorem

Published on 25 Mar 2026 - 11:15

231

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Boundary layer in time

Published on 25 Mar 2026 - 4:34

List Question

Transform differential equation to an initial value problem when leading coefficient can be zero

Find the series solution of the IVP $y''+3xy'+3y=0, y(0)=2, y'(0)=3$

Wave equation with piecewise-defined Cauchy data

Initial Value Problem, lipschitz constant

Solve the initial value problem $xyy' + xy' = 1$ and $y(1) = 0$

initial value problem $y'=-y^2, y(1)= \sqrt{2}$

Modelling infectious diseases without Immunization not yielding intuitive answer

Analytical solution to the 1D wave equation with perodic boundary condition

I need helping solving this Inital Value problem!

What makes an extremum independent of the integration interval?

How to solve the following initial value problem?

IVP of $u_t=(2x+y)u_x+(x+2y)u_y$ and the method of characteristics

Initial Value Problem $\frac{dx}{dt}=f(t,x),x(\tau)=\xi$ Equivalent to Integral Equation $x(t)=\xi+\int_{\tau}^{t}f(s,x(s))ds$.

Question about the proof of the Picard–Lindelöf theorem

Boundary layer in time

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