List questions from ordinary-differential-equations

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Show that if $\lim_{t\to\infty} \int_0^t \operatorname{tr}(A(s))ds=\infty$, then $x'(t) = A(t)x(t)$ has an unbounded solution.

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method to solve a Second order of differential equation

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$\omega(x_0)=\mathcal{O}(x_0)$ for periodic points $x_0$

Solving differential equation with three products

Circular orbits of ODE System

Help to get partial differential from equation - robotics

Solving general linear ODE with Dirac delta as input, regarding continuity

Heat equation - solving with Laplace transform

Integrating factor method for matrix linear inhomogenous odes: what assumptions do we need?

Temperature of a metal plate throughout the day

2-D Analgoue of Pseudosphere

Coordinate transformation of ODEs

Show that if $\lim_{t\to\infty} \int_0^t \operatorname{tr}(A(s))ds=\infty$, then $x'(t) = A(t)x(t)$ has an unbounded solution.

Numerical approximation of non-unique ODE solution

Is there a clear, universal test for a separable diferential equation?

method to solve a Second order of differential equation

Almost done solving IVP using Laplace transform .. Need advice/guidance

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