Question

Prove that this differential equation has a unique solution defined on $\Bbb{R}^+$

score 141 · Answer 1 · 2026-05-05 01:12:54

141

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Prove that this differential equation has a unique solution defined on $\Bbb{R}^+$

Published on 05 May 2026 - 1:12

score 54 · Answer 2 · 2026-04-16 12:20:15

54

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Finding the particular solution to $ \phi''(r) + \frac{1}{r}\phi'(r)+C_1\phi(r) = C_2 J_0(\alpha r/a) $

Published on 16 Apr 2026 - 12:20

score 1.1k · Answer 3 · 2026-04-12 10:44:50

1.1k

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Finding a First Integral of a System of First-Order DEs

Published on 12 Apr 2026 - 10:44

score 132 · Answer 4 · 2026-04-10 21:09:45

132

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Unique solution of differential equation

Published on 10 Apr 2026 - 21:09

score 44 · Answer 5 · 2026-05-10 21:10:16

44

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Prove that $0$ is locally exponentially stable

Published on 10 May 2026 - 21:10

score 224 · Answer 6 · 2026-05-10 19:16:42

224

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Exists an exponential matrix

Published on 10 May 2026 - 19:16

score 632 · Answer 7 · 2026-04-12 07:01:50

632

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Finding a First Integral of the Lotka-Volterra System

Published on 12 Apr 2026 - 7:01

score 46 · Answer 8 · 2026-05-05 02:23:01

46

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Prove that $0$ is locally exponentially stable for the following non-autonomuous system

Published on 05 May 2026 - 2:23

score 1.5k · Answer 9 · 2026-05-05 02:22:32

1.5k

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Units of Differential Equations -- MIT Calculus Question

Published on 05 May 2026 - 2:22

score 187 · Answer 10 · 2026-04-12 21:36:44

187

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Functional equation related to $\sin$: $f(x+y)=f(x)f'(y)+f'(x)f(y)$

Published on 12 Apr 2026 - 21:36

score 406 · Answer 11 · 2026-04-11 08:19:34

406

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Differential equation for logistic population growth with harvesting

Published on 11 Apr 2026 - 8:19

score 180 · Answer 12 · 2026-04-12 02:42:15

180

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Does $x'' = x^3$ have an analytical solution?

Published on 12 Apr 2026 - 2:42

score 81 · Answer 13 · 2026-04-11 17:13:56

81

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Coupled second order non linear ODE

Published on 11 Apr 2026 - 17:13

score 52 · Answer 14 · 2026-05-11 10:11:47

52

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Prove that $\begin{cases}x'(t)=-x^{3}(t)+\sin(t)x^{2}(t)+1 & t\geq 0,\\x(0)=x_0\in \Bbb{R}&\end{cases}$ has a global solution on $\Bbb{R}^+$

Published on 11 May 2026 - 10:11

score 1.1k · Answer 15 · 2026-05-05 02:23:41

1.1k

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Prove that the dimension of the solution space of a second order homogenous ODE is 2

Published on 05 May 2026 - 2:23

List Question

Prove that this differential equation has a unique solution defined on $\Bbb{R}^+$

Finding the particular solution to $ \phi''(r) + \frac{1}{r}\phi'(r)+C_1\phi(r) = C_2 J_0(\alpha r/a) $

Finding a First Integral of a System of First-Order DEs

Unique solution of differential equation

Prove that $0$ is locally exponentially stable

Exists an exponential matrix

Finding a First Integral of the Lotka-Volterra System

Prove that $0$ is locally exponentially stable for the following non-autonomuous system

Units of Differential Equations -- MIT Calculus Question

Functional equation related to $\sin$: $f(x+y)=f(x)f'(y)+f'(x)f(y)$

Differential equation for logistic population growth with harvesting

Does $x'' = x^3$ have an analytical solution?

Coupled second order non linear ODE

Prove that $\begin{cases}x'(t)=-x^{3}(t)+\sin(t)x^{2}(t)+1 & t\geq 0,\\x(0)=x_0\in \Bbb{R}&\end{cases}$ has a global solution on $\Bbb{R}^+$

Prove that the dimension of the solution space of a second order homogenous ODE is 2

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