Question

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

score 176 · Answer 1 · 2026-03-26 19:34:52

176

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

Published on 26 Mar 2026 - 19:34

score 126 · Answer 2 · 2026-03-26 19:36:19

126

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Difference of 2 roots

Published on 26 Mar 2026 - 19:36

score 1k · Answer 3 · 2026-03-27 08:22:09

1k

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Quadratic Equations with a common root

Published on 27 Mar 2026 - 8:22

score 271 · Answer 4 · 2026-03-26 04:08:56

271

Views

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

Published on 26 Mar 2026 - 4:08

score 124 · Answer 5 · 2026-03-26 01:04:32

124

Views

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

Published on 26 Mar 2026 - 1:04

score 91 · Answer 6 · 2026-03-24 23:44:37

91

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

Published on 24 Mar 2026 - 23:44

score 467 · Answer 7 · 2026-03-17 20:00:25

467

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 17 Mar 2026 - 20:00

score 109 · Answer 8 · 2026-03-25 16:03:10

109

Views

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

Published on 25 Mar 2026 - 16:03

score 643 · Answer 9 · 2026-03-22 19:14:47

643

Views

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

Published on 22 Mar 2026 - 19:14

score 77 · Answer 10 · 2026-03-26 09:41:03

77

Views

Elementary question about roots with multiplicity of a polynomial.

Published on 26 Mar 2026 - 9:41

score 657 · Answer 11 · 2026-03-26 11:15:57

657

Views

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

Published on 26 Mar 2026 - 11:15

score 1.4k · Answer 12 · 2018-01-28 22:14:25

1.4k

Views

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

Published on 28 Jan 2018 - 22:14

score 732 · Answer 13 · 2026-03-25 17:41:45

732

Views

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

Published on 25 Mar 2026 - 17:41

score 194 · Answer 14 · 2026-03-27 11:59:57

194

Views

Problem regarding convergence of second order

Published on 27 Mar 2026 - 11:59

score 98 · Answer 15 · 2026-03-24 20:47:47

98

Views

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

Published on 24 Mar 2026 - 20:47

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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