List questions from initial-value-problems

403

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Every solution of $x'' + x + x^3 = 0$ is set on $\mathbb R$. What happens with $x'' + x' + x + x^3 = 0$?

Published on 29 Mar 2026 - 0:07

79

Views

Uniqueness of solution of $y' = f(x,y)$ : $|f(x,y)-f(x,z)|\leq h(x) |y-z|$

Published on 30 Oct 2017 - 22:13

131

Views

Characteristic base curves

Published on 06 Nov 2017 - 4:01

273

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Show that the initial value problem $\dot x=A(t) x+b(t)$ has a global solution

Published on 08 Nov 2017 - 9:07

1.6k

Views

Necessity of initial conditions in Integral and Differential equations

Published on 29 Mar 2026 - 6:08

119

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Problem with finding shock location via the separable ODE $\dot s=(s+1)/2t$.

Published on 27 Mar 2026 - 7:48

87

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Calculating the upper bound of a function

Published on 14 Nov 2017 - 8:39

2.9k

Views

Solution to the initial value problem $ty''-ty'-2y=3$ using Laplace transforms.

Published on 16 Nov 2017 - 22:01

668

Views

Show that $\det(P(t))=\det(P_0) e^{\int_0^t \operatorname{Tr} A(s)\, ds}$

Published on 20 Nov 2017 - 1:51

581

Views

Inverse Laplace Transform to solve second-order linear DE $[y''-2y'-99y=0, y(0)=12, y'(0)=-8]$.

Published on 30 Nov 2017 - 0:33

434

Views

To show that this IVP does/does not have a unique solution

Published on 04 Dec 2017 - 17:10

34

Views

question regarding symbolic expression for differential equations to an initial value problem

Published on 04 Dec 2017 - 20:10

188

Views

Existence and uniqueness of solution of : $y'(x) = (x-y(x))^{4/5}, \space y(3)=3$

Published on 10 Dec 2017 - 13:38

90

Views

Existence of solution for the IVP : $y'(x) = (x-y(x))^{8/9}, y(0) = 0$

Published on 11 Dec 2017 - 18:27

374

Views

Euler method with infinite gradient at initial value

Published on 25 Mar 2026 - 14:19

List Question

Every solution of $x'' + x + x^3 = 0$ is set on $\mathbb R$. What happens with $x'' + x' + x + x^3 = 0$?

Uniqueness of solution of $y' = f(x,y)$ : $|f(x,y)-f(x,z)|\leq h(x) |y-z|$

Characteristic base curves

Show that the initial value problem $\dot x=A(t) x+b(t)$ has a global solution

Necessity of initial conditions in Integral and Differential equations

Problem with finding shock location via the separable ODE $\dot s=(s+1)/2t$.

Calculating the upper bound of a function

Solution to the initial value problem $ty''-ty'-2y=3$ using Laplace transforms.

Show that $\det(P(t))=\det(P_0) e^{\int_0^t \operatorname{Tr} A(s)\, ds}$

Inverse Laplace Transform to solve second-order linear DE $[y''-2y'-99y=0, y(0)=12, y'(0)=-8]$.

To show that this IVP does/does not have a unique solution

question regarding symbolic expression for differential equations to an initial value problem

Existence and uniqueness of solution of : $y'(x) = (x-y(x))^{4/5}, \space y(3)=3$

Existence of solution for the IVP : $y'(x) = (x-y(x))^{8/9}, y(0) = 0$

Euler method with infinite gradient at initial value

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