Question

Is the professor wrong? Simple ODE question

score 116 · Answer 1 · 2026-03-22 07:11:09

116

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Is the professor wrong? Simple ODE question

Published on 22 Mar 2026 - 7:11

score 785 · Answer 2 · 2026-03-20 04:46:07

785

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The system $x' = h(y), \space y' = ay + g(x)$ has no periodic solutions

Published on 20 Mar 2026 - 4:46

score 116 · Answer 3 · 2026-03-17 05:00:22

116

Views

Show that a periodic function $f(t)$ with period $T$ can be written as $ f(t) = f_T (t) \star \frac{1}{T} \text{comb}\bigg(\frac{t}{T}\bigg) $

Published on 17 Mar 2026 - 5:00

score 745 · Answer 4 · 2026-03-18 02:18:03

745

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Is $x(t) = \sin(3t) + \cos\left({2\over3}t\right) + \cos(\pi t)$ periodic?

Published on 18 Mar 2026 - 2:18

score 86 · Answer 5 · 2026-03-20 03:44:21

86

Views

To show $\int_{a}^{a+T} f(x)dx$ is independant in $a$

Published on 20 Mar 2026 - 3:44

score 78 · Answer 6 · 2026-03-21 00:52:08

78

Views

Is the function $f(t)=\sin(\omega_0 t+\phi_0(t))$ periodic?

Published on 21 Mar 2026 - 0:52

score 170 · Answer 7 · 2026-03-22 10:00:38

170

Views

Periodic function notation, need help with a fundamental concept

Published on 22 Mar 2026 - 10:00

score 235 · Answer 8 · 2026-03-22 10:39:28

235

Views

Time dependent differential equation system with periodicity

Published on 22 Mar 2026 - 10:39

score 108 · Answer 9 · 2026-03-22 09:10:24

108

Views

Let $f: \mathbb{R} \to \mathbb{R}$ and $\exists \ \ b \in \mathbb{R} : f(x+b)=\sqrt{f(x)-f^2(x)}+\frac{1}{2}$

Published on 22 Mar 2026 - 9:10

score 283 · Answer 10 · 2026-03-20 04:40:12

283

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Compute the period of this function $f(x)=7+3\cos{(\pi x)}-8\sin{(\pi x)}+4\cos{(2\pi x)}-6\sin{(2\pi x)}$

Published on 20 Mar 2026 - 4:40

score 399 · Answer 11 · 2026-03-20 05:56:17

399

Views

If $f$ is continuous with irrational period $\xi$ and $\int_0^\xi f(x)\,dx = 0$, is it possible that $f(1)+f(2)+f(3)+\cdots=\infty$?

Published on 20 Mar 2026 - 5:56

score 183 · Answer 12 · 2026-03-24 03:49:19

183

Views

How to prove that a complex function is not analytic in a rectangle?

Published on 24 Mar 2026 - 3:49

score 45 · Answer 13 · 2026-03-25 13:57:59

45

Views

How can I find period of the function $\cot(\sqrt{\frac xb})$?

Published on 25 Mar 2026 - 13:57

score 180 · Answer 14 · 2026-03-25 13:53:23

180

Views

periodicity of a sinusoidal function

Published on 25 Mar 2026 - 13:53

score 66 · Answer 15 · 2026-03-25 13:58:11

66

Views

Periodicity of $f$ such that $ f(x+2)=f(x-1)f(x+5)$

Published on 25 Mar 2026 - 13:58

List Question

Is the professor wrong? Simple ODE question

The system $x' = h(y), \space y' = ay + g(x)$ has no periodic solutions

Show that a periodic function $f(t)$ with period $T$ can be written as $ f(t) = f_T (t) \star \frac{1}{T} \text{comb}\bigg(\frac{t}{T}\bigg) $

Is $x(t) = \sin(3t) + \cos\left({2\over3}t\right) + \cos(\pi t)$ periodic?

To show $\int_{a}^{a+T} f(x)dx$ is independant in $a$

Is the function $f(t)=\sin(\omega_0 t+\phi_0(t))$ periodic?

Periodic function notation, need help with a fundamental concept

Time dependent differential equation system with periodicity

Let $f: \mathbb{R} \to \mathbb{R}$ and $\exists \ \ b \in \mathbb{R} : f(x+b)=\sqrt{f(x)-f^2(x)}+\frac{1}{2}$

Compute the period of this function $f(x)=7+3\cos{(\pi x)}-8\sin{(\pi x)}+4\cos{(2\pi x)}-6\sin{(2\pi x)}$

If $f$ is continuous with irrational period $\xi$ and $\int_0^\xi f(x)\,dx = 0$, is it possible that $f(1)+f(2)+f(3)+\cdots=\infty$?

How to prove that a complex function is not analytic in a rectangle?

How can I find period of the function $\cot(\sqrt{\frac xb})$?

periodicity of a sinusoidal function

Periodicity of $f$ such that $ f(x+2)=f(x-1)f(x+5)$

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