List questions from initial-value-problems

Published on 02 Apr 2023 - 3:24

57

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problem in a basic initial value problem $ \begin{cases} \ y'=t(y-1)^2\\ \ y(0)=0\\ \end {cases} $

Published on 02 Apr 2023 - 15:42

96

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Picard–Lindelöf theorem - ODE

Published on 06 Apr 2023 - 18:25

64

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Solving the IVP $f'(t) = \frac{i}{f(t)}$ for $f:\mathbb{R}\to\mathbb{C},\mathrm{Re}(f(t))>0, f(0) = c^2,c>0$

Published on 16 Apr 2023 - 17:30

255

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$x^2y'' + 2xy' = 0$

Published on 19 Apr 2023 - 15:11

118

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Analysing the behavior of a solution to an ODE

Published on 22 Apr 2023 - 14:21

44

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Evolution of an ordinary differential equation

Published on 27 Apr 2023 - 19:29

56

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stuck on this integration problem

Published on 01 May 2023 - 9:52

159

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Solution to $y'=y^2, y(1)=0$

Published on 05 May 2023 - 17:16

43

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Showing that a non-homogenous differential equation has a unique solution

Published on 07 May 2023 - 9:26

82

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Quasi linear PDE 1st order

Published on 19 May 2023 - 9:39

270

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Solve differential equation: $t\cdot\frac{dx}{dt}=x(\ln x - \ln t)$

Published on 20 May 2023 - 10:51

160

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Exactly one solution of $y'=-xy^{1/3}, y(0)=0$

Published on 20 May 2023 - 16:40

152

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Laplace transform problem involving piecewise function - Could you tell me where I'm going wrong?

Published on 22 May 2023 - 15:45

50

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Initial value problem using Laplace Transform

Published on 30 May 2023 - 11:02

List Question

Existence of solution to IVP and Lipschitz condition using continuous derivatives.

problem in a basic initial value problem $ \begin{cases} \ y'=t(y-1)^2\\ \ y(0)=0\\ \end {cases} $

Picard–Lindelöf theorem - ODE

Solving the IVP $f'(t) = \frac{i}{f(t)}$ for $f:\mathbb{R}\to\mathbb{C},\mathrm{Re}(f(t))>0, f(0) = c^2,c>0$

$x^2y'' + 2xy' = 0$

Analysing the behavior of a solution to an ODE

Evolution of an ordinary differential equation

stuck on this integration problem

Solution to $y'=y^2, y(1)=0$

Showing that a non-homogenous differential equation has a unique solution

Quasi linear PDE 1st order

Solve differential equation: $t\cdot\frac{dx}{dt}=x(\ln x - \ln t)$

Exactly one solution of $y'=-xy^{1/3}, y(0)=0$

Laplace transform problem involving piecewise function - Could you tell me where I'm going wrong?

Initial value problem using Laplace Transform

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