Question

Existence and uniqueness of solution for the IVP : $y'(x) = [x-\cos(y(x))]^{2/5}, \space y(0) = 0$

score 180 · Answer 1 · 2026-05-10 12:17:44

180

Views

Existence and uniqueness of solution for the IVP : $y'(x) = [x-\cos(y(x))]^{2/5}, \space y(0) = 0$

Published on 10 May 2026 - 12:17

score 138 · Answer 2 · 2026-05-10 12:30:49

138

Views

Difference of 2 roots

Published on 10 May 2026 - 12:30

score 1k · Answer 3 · 2026-05-12 02:56:22

1k

Views

Quadratic Equations with a common root

Published on 12 May 2026 - 2:56

score 281 · Answer 4 · 2026-05-10 11:20:04

281

Views

Why is $\mathbb{Q}(\sqrt{2})$ not isomorphic to $\mathbb{Q}(\sqrt{3})$?

Published on 10 May 2026 - 11:20

score 129 · Answer 5 · 2026-05-10 17:39:25

129

Views

Find $a$ so that $a \in R, x^4+4x^3+ax^2+4x+1=0$ has all roots in $R$.

Published on 10 May 2026 - 17:39

score 95 · Answer 6 · 2026-05-10 14:04:54

95

Views

Do all degree $n+1$ polynomials have rational roots?

Published on 10 May 2026 - 14:04

score 476 · Answer 7 · 2026-05-05 08:46:12

476

Views

If the roots of the cubic equation $ax^3+bx^2+cx+d=0$ are equal, can one then establish a relationship between $a, b, c, d$?

Published on 05 May 2026 - 8:46

score 113 · Answer 8 · 2026-05-10 16:57:11

113

Views

Is this proof right for The Fundamental Theorem of Algebra with matrix theory?

Published on 10 May 2026 - 16:57

score 649 · Answer 9 · 2026-05-11 03:18:31

649

Views

Irreducibility of $x^3-6x-2$ in $Q[x]$

Published on 11 May 2026 - 3:18

score 80 · Answer 10 · 2026-04-29 12:28:45

80

Views

Elementary question about roots with multiplicity of a polynomial.

Published on 29 Apr 2026 - 12:28

score 661 · Answer 11 · 2026-05-11 07:47:24

661

Views

Proving the equation $4x^3+6x^2+5x=-7$ has has only one solution using Rolle's or Lagrange's theorem

Published on 11 May 2026 - 7:47

score 1.4k · Answer 12 · 2026-04-29 12:29:19

1.4k

Views

Prove the equation $\ln(x) = \frac1 {x-1}$ has exactly 2 real solutions.

Published on 29 Apr 2026 - 12:29

score 740 · Answer 13 · 2026-04-29 12:29:04

740

Views

Confirmation of Proof: $f(x)= x^5 - x - 16$ has at most three real roots.

Published on 29 Apr 2026 - 12:29

score 202 · Answer 14 · 2026-05-10 13:42:23

202

Views

Problem regarding convergence of second order

Published on 10 May 2026 - 13:42

score 106 · Answer 15 · 2026-05-10 16:40:05

106

Views

Minimum value of $(a+1)(b+1)$

Published on 10 May 2026 - 16:40

List Question

Existence and uniqueness of solution for the IVP : $y'(x) = [x-\cos(y(x))]^{2/5}, \space y(0) = 0$

Difference of 2 roots

Quadratic Equations with a common root

Why is $\mathbb{Q}(\sqrt{2})$ not isomorphic to $\mathbb{Q}(\sqrt{3})$?

Find $a$ so that $a \in R, x^4+4x^3+ax^2+4x+1=0$ has all roots in $R$.

Do all degree $n+1$ polynomials have rational roots?

If the roots of the cubic equation $ax^3+bx^2+cx+d=0$ are equal, can one then establish a relationship between $a, b, c, d$?

Is this proof right for The Fundamental Theorem of Algebra with matrix theory?

Irreducibility of $x^3-6x-2$ in $Q[x]$

Elementary question about roots with multiplicity of a polynomial.

Proving the equation $4x^3+6x^2+5x=-7$ has has only one solution using Rolle's or Lagrange's theorem

Prove the equation $\ln(x) = \frac1 {x-1}$ has exactly 2 real solutions.

Confirmation of Proof: $f(x)= x^5 - x - 16$ has at most three real roots.

Problem regarding convergence of second order

Minimum value of $(a+1)(b+1)$

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