List questions from initial-value-problems

53

Views

Examine whether the initial value problem $\frac{dy}{dx}$ = $x\sqrt{y-3}$ , $y(4)=3$ has unique solution or more than one solution or no solution.

Published on 25 Aug 2023 - 9:51

124

Views

About solution of equation $y''-C^{2}y=f(x)$

Published on 08 Sep 2023 - 14:01

143

Views

If the IVP is x'=1+x^2, x(0)=0, why must the solution be tan(t), (-pi/2<t<pi/2) and not just tan(t)?

Published on 23 Sep 2023 - 4:40

80

Views

Solving IVP using Laplace Transforms

Published on 28 Sep 2023 - 20:22

154

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Clarification for "solving the equation for $t < \sigma_0$ is equivalent to solving the reversed-time equation"

Published on 10 Oct 2023 - 0:08

44

Views

Unique solution to a second order IVP

Published on 10 Oct 2023 - 16:22

58

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Applications of rarefaction waves

Published on 10 Oct 2023 - 21:42

76

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Problem solving initial value problems using Fourier transform

Published on 11 Oct 2023 - 8:46

37

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Bounds on solutions to an ordinary differential equation

Published on 13 Oct 2023 - 22:42

73

Views

Initial value problem of $y'(x)=2\cdot\sqrt{|y(x)|}$

Published on 23 Oct 2023 - 16:49

69

Views

Find all solutions to the Initial Value Problem

Published on 29 Oct 2023 - 20:12

52

Views

Derivative with respect to parameter of solution of pendulum equation

Published on 30 Oct 2023 - 13:15

68

Views

Question on the power series method to solve a differential equation

Published on 02 Nov 2023 - 0:00

34

Views

Clarification needed on solving the wave equation with a discontinuous initial condition

Published on 04 Nov 2023 - 16:10

43

Views

What are the initial conditions for this coupled advection/transport system?

Published on 25 Mar 2026 - 14:33

List Question

Examine whether the initial value problem $\frac{dy}{dx}$ = $x\sqrt{y-3}$ , $y(4)=3$ has unique solution or more than one solution or no solution.

About solution of equation $y''-C^{2}y=f(x)$

If the IVP is x'=1+x^2, x(0)=0, why must the solution be tan(t), (-pi/2<t<pi/2) and not just tan(t)?

Solving IVP using Laplace Transforms

Clarification for "solving the equation for $t < \sigma_0$ is equivalent to solving the reversed-time equation"

Unique solution to a second order IVP

Applications of rarefaction waves

Problem solving initial value problems using Fourier transform

Bounds on solutions to an ordinary differential equation

Initial value problem of $y'(x)=2\cdot\sqrt{|y(x)|}$

Find all solutions to the Initial Value Problem

Derivative with respect to parameter of solution of pendulum equation

Question on the power series method to solve a differential equation

Clarification needed on solving the wave equation with a discontinuous initial condition

What are the initial conditions for this coupled advection/transport system?

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