List questions from ordinary-differential-equations

Published on 17 Apr 2026 - 2:37

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Verify that $x^2 + cy^2 = 1$ is an implicit solution to $\frac{dy}{dx} = \frac{xy}{x^2 - 1}.$

Published on 15 Apr 2026 - 20:30

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Finding system of equations from solutions

Published on 09 Apr 2026 - 16:57

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How to prove local inequalities around zeros of an ODE solution and its derivative?

Published on 13 Apr 2026 - 5:49

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contraction mapping theorem for 'non-strict' contraction

Published on 13 Apr 2026 - 4:12

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Projectile motion with air resistance proportional to velocity squared, system of DE's.

Published on 22 Apr 2026 - 12:58

81

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Find extremum of functional $\int\limits_{x_0}^{x_1}{1+y^2\over \dot{y}^2}$

Published on 25 Mar 2026 - 6:12

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differential equations - change of unit

Published on 13 Apr 2026 - 10:10

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Solution of ${x}^{2} \dfrac {d^{2}y}{dx^{2}}+ x \dfrac{dy}{dx}+y=0 $

Published on 17 Apr 2026 - 13:58

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Two mass spring system - Correct ODE

Published on 14 Apr 2026 - 12:02

467

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Global existence of solution of a differential equation

Published on 10 Apr 2026 - 19:26

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How can we rescale the time in the differential equations?

Published on 12 Apr 2026 - 22:53

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Does local stability of a unique equilibrium in a bounded region implies global stability?

Published on 11 Apr 2026 - 5:08

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Sketch the solution curve that passes through $(0, -2)$. From this sketch, write the equation for the solution.

Published on 16 Apr 2026 - 10:32

80

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Notational confusion concerning differential equations?

Published on 14 Apr 2026 - 22:24

List Question

Orthogonal tragectories

Verify that $x^2 + cy^2 = 1$ is an implicit solution to $\frac{dy}{dx} = \frac{xy}{x^2 - 1}.$

Finding system of equations from solutions

How to prove local inequalities around zeros of an ODE solution and its derivative?

contraction mapping theorem for 'non-strict' contraction

Projectile motion with air resistance proportional to velocity squared, system of DE's.

Find extremum of functional $\int\limits_{x_0}^{x_1}{1+y^2\over \dot{y}^2}$

differential equations - change of unit

Solution of ${x}^{2} \dfrac {d^{2}y}{dx^{2}}+ x \dfrac{dy}{dx}+y=0 $

Two mass spring system - Correct ODE

Global existence of solution of a differential equation

How can we rescale the time in the differential equations?

Does local stability of a unique equilibrium in a bounded region implies global stability?

Sketch the solution curve that passes through $(0, -2)$. From this sketch, write the equation for the solution.

Notational confusion concerning differential equations?

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