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Demonstrate by the Lyapunov method

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#calculus #ordinary-differential-equations #multivariable-calculus
54
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Help in understanding the demonstration of Seifert's Theorem (about Hopf Vector Field)

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#ordinary-differential-equations #dynamical-systems
132
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What is the general solution to, $x \frac{dy}{dx} = 2xy + y^2$ using the substitution $y=vx$

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#calculus #ordinary-differential-equations #substitution
260
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Recommendation for intro to geometric integrators?

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#ordinary-differential-equations #optimization #numerical-methods #numerical-optimization #symplectic-geometry
53
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Property of solutions of differential equation

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#ordinary-differential-equations #proof-verification #proof-writing
62
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Help with solving a system of differential equations

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#ordinary-differential-equations
256
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Does an analytical solution for this ODE system exist?

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#ordinary-differential-equations
130
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Branching annihilating random walks and mean field theory

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#ordinary-differential-equations #statistics #random-walk #descriptive-statistics #statistical-mechanics
50
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Relation between exponential powered by imaginary number and trigonometry

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#ordinary-differential-equations #trigonometry
862
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Trivial and non-trivial solutions of second order differential.

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#ordinary-differential-equations
779
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Solution to $\frac{d^2x(t)}{dt^2}+\omega(t)^2x(t)=0$

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#ordinary-differential-equations #physics
231
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Equivalence between non-singular vector field without periodic orbits and the irrational flow on a torus.

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#ordinary-differential-equations #lie-groups #dynamical-systems #ergodic-theory
117
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Show that the system has a limit cycle

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#calculus #ordinary-differential-equations #multivariable-calculus
279
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Show that the substitution $x=X-1$ and $y=Y+3$ turns $\frac{dy}{dx}=...$ into a homogenous equation.

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#calculus #ordinary-differential-equations #substitution
59
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When does the trajectory lie in the positive orthant?

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#ordinary-differential-equations #set-invariance

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