Question

solution for system of non homo linear recurrence relations

score 27 · Answer 1 · 2026-04-17 00:45:07

27

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solution for system of non homo linear recurrence relations

Published on 17 Apr 2026 - 0:45

score 47 · Answer 2 · 2026-04-16 05:19:39

47

Views

Solve functional equation $F(s \cdot t)=\int_a^b G(x,t) G(x,s) dx$

Published on 16 Apr 2026 - 5:19

score 84 · Answer 3 · 2026-04-12 22:09:46

84

Views

Other functions satisfying the cosine-double-angle formula?

Published on 12 Apr 2026 - 22:09

score 92 · Answer 4 · 2026-04-10 18:11:12

92

Views

A hard functional equation question involving bijection

Published on 10 Apr 2026 - 18:11

score 94 · Answer 5 · 2026-04-09 13:55:36

94

Views

Strange property of the functional equation $f(x+y)=ax+by$.

Published on 09 Apr 2026 - 13:55

score 120 · Answer 6 · 2026-04-15 20:26:17

120

Views

Finding a closed form of $f(n) = \frac{n-4}{n}f(n-1)+1\ ,\ n \geq 5$ where $f(4) = 1$.

Published on 15 Apr 2026 - 20:26

score 138 · Answer 7 · 2026-04-12 23:06:04

138

Views

Show Isomorphism Involving Dual Spaces

Published on 12 Apr 2026 - 23:06

score 20 · Answer 8 · 2026-04-14 20:22:43

Is there a way to analytically determine a list of possible functions given a set of properties, or must each option be evaluated individually?

score 130 · Answer 9 · 2026-04-11 03:33:44

130

Views

Constructing the set $D$ that satisfies the equation $f(x)=x+1$

Published on 11 Apr 2026 - 3:33

score 65 · Answer 10 · 2026-04-17 11:05:25

65

Views

Find $f:\mathbb{R} \to \mathbb{R}$ which satisfies $f(x)^2+2f(x)f(y)+y^2=\big(x-f(y)\big)^2+4f(x)y$.

Published on 17 Apr 2026 - 11:05

score 63 · Answer 11 · 2026-04-15 22:40:20

63

Views

Finding function(s) $f: \mathbb{R^+} \to \mathbb{R^+}$ which satisfies $f(xf(y))=x^2y^3.$ (Proof verification)

Published on 15 Apr 2026 - 22:40

score 83 · Answer 12 · 2026-04-14 13:09:48

83

Views

Wrong proof of $f:\mathbb{R}\to\mathbb{R}$ continuous at $0$ such that $f(x)+f(2x/3)=x$

Published on 14 Apr 2026 - 13:09

score 64 · Answer 13 · 2026-04-17 12:22:08

64

Views

$f(n)=\sqrt{m+f(n-1)}, f(1)=\sqrt{m}.$ Find the general term of $f(n).$

Published on 17 Apr 2026 - 12:22

score 74 · Answer 14 · 2026-04-17 08:13:46

74

Views

Find $f:\mathbb{R} \to [-1, 1]$ which satisfies these two conditions:

Published on 17 Apr 2026 - 8:13

score 145 · Answer 15 · 2026-04-17 05:47:07

Tricky functional equation: $f\!\left(\frac{2-p+p^2}{4-2p}\right) - f(p/2)= f\!\left(\frac{(1-p)(2+p)}{2-p}\right) - f(1-p)$

List Question

solution for system of non homo linear recurrence relations

Solve functional equation $F(s \cdot t)=\int_a^b G(x,t) G(x,s) dx$

Other functions satisfying the cosine-double-angle formula?

A hard functional equation question involving bijection

Strange property of the functional equation $f(x+y)=ax+by$.

Finding a closed form of $f(n) = \frac{n-4}{n}f(n-1)+1\ ,\ n \geq 5$ where $f(4) = 1$.

Show Isomorphism Involving Dual Spaces

Is there a way to analytically determine a list of possible functions given a set of properties, or must each option be evaluated individually?

Constructing the set $D$ that satisfies the equation $f(x)=x+1$

Find $f:\mathbb{R} \to \mathbb{R}$ which satisfies $f(x)^2+2f(x)f(y)+y^2=\big(x-f(y)\big)^2+4f(x)y$.

Finding function(s) $f: \mathbb{R^+} \to \mathbb{R^+}$ which satisfies $f(xf(y))=x^2y^3.$ (Proof verification)

Wrong proof of $f:\mathbb{R}\to\mathbb{R}$ continuous at $0$ such that $f(x)+f(2x/3)=x$

$f(n)=\sqrt{m+f(n-1)}, f(1)=\sqrt{m}.$ Find the general term of $f(n).$

Find $f:\mathbb{R} \to [-1, 1]$ which satisfies these two conditions:

Tricky functional equation: $f\!\left(\frac{2-p+p^2}{4-2p}\right) - f(p/2)= f\!\left(\frac{(1-p)(2+p)}{2-p}\right) - f(1-p)$

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