Question

Solve Differential equation $2t\ y(t)\ y'(t)=t^2+3y(t)^2$ with substitution

score 78 · Answer 1 · 2018-06-16 10:18:02

78

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Solve Differential equation $2t\ y(t)\ y'(t)=t^2+3y(t)^2$ with substitution

Published on 16 Jun 2018 - 10:18

score 160 · Answer 2 · 2026-03-23 04:46:23

160

Views

If $0⩽x⩽y⩽z⩽w⩽u$ and $x+y+z+w+u=1$, prove $xw+wz+zy+yu+ux⩽\frac15$

Published on 23 Mar 2026 - 4:46

score 120 · Answer 3 · 2018-06-18 13:45:02

120

Views

Solving integral by substitution

Published on 18 Jun 2018 - 13:45

score 307 · Answer 4 · 2018-06-18 18:16:56

307

Views

Tangent half-angle substitution for $\int_0^{2 \pi} \frac{1- \cos x}{3 + \cos x}$

Published on 18 Jun 2018 - 18:16

score 129 · Answer 5 · 2018-06-20 05:38:35

129

Views

What is the general solution to, $x \frac{dy}{dx} = 2xy + y^2$ using the substitution $y=vx$

Published on 20 Jun 2018 - 5:38

score 49 · Answer 6 · 2026-03-25 02:57:24

49

Views

substitution for a multiple integral

Published on 25 Mar 2026 - 2:57

score 276 · Answer 7 · 2018-06-21 08:21:50

276

Views

Show that the substitution $x=X-1$ and $y=Y+3$ turns $\frac{dy}{dx}=...$ into a homogenous equation.

Published on 21 Jun 2018 - 8:21

score 2.3k · Answer 8 · 2018-06-21 20:48:43

2.3k

Views

Let $R$ be the triangle with vertices in $(0,0)$, $(0,1)$, $(1,0)$. Find: $\iint_R \exp((y-x)/( y+x))\, dx\,dy.$

Published on 21 Jun 2018 - 20:48

score 149 · Answer 9 · 2018-06-23 10:57:05

149

Views

Using the substitution $z=y^2$ solve the differential equation ... given that when $x=4$ and $y=-5$ in the form $y=f(x)$

Published on 23 Jun 2018 - 10:57

score 84 · Answer 10 · 2018-06-23 13:57:33

84

Views

Use a substitution to turn $\cos(y)y'+ \tan(x)\sin(y)=\sin(x)$ into a linear differential equation.

Published on 23 Jun 2018 - 13:57

score 256 · Answer 11 · 2018-06-24 05:12:09

256

Views

What went wrong in this u-substitution in integrating functions in terms of sine?

Published on 24 Jun 2018 - 5:12

score 528 · Answer 12 · 2026-03-23 02:26:46

528

Views

How to remove the second two leading terms in the general quintic with just algebra?

Published on 23 Mar 2026 - 2:26

score 1.7k · Answer 13 · 2018-06-28 12:57:32

1.7k

Views

Solving for $x$, $\sin^{10}{x}+\cos^{10}{x}=\frac{29}{16}\cos^4{2x}$

Published on 28 Jun 2018 - 12:57

score 641 · Answer 14 · 2026-03-25 07:45:39

641

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If $x>0$ and $y>0$ find the general solution to the differential equation giving your answer in the form $ye^{\frac{y}{x}}=f(x)$

Published on 25 Mar 2026 - 7:45

score 71 · Answer 15 · 2018-06-30 02:33:50

71

Views

Doubt with an inequality involving integrals

Published on 30 Jun 2018 - 2:33

List Question

Solve Differential equation $2t\ y(t)\ y'(t)=t^2+3y(t)^2$ with substitution

If $0⩽x⩽y⩽z⩽w⩽u$ and $x+y+z+w+u=1$, prove $xw+wz+zy+yu+ux⩽\frac15$

Solving integral by substitution

Tangent half-angle substitution for $\int_0^{2 \pi} \frac{1- \cos x}{3 + \cos x}$

What is the general solution to, $x \frac{dy}{dx} = 2xy + y^2$ using the substitution $y=vx$

substitution for a multiple integral

Show that the substitution $x=X-1$ and $y=Y+3$ turns $\frac{dy}{dx}=...$ into a homogenous equation.

Let $R$ be the triangle with vertices in $(0,0)$, $(0,1)$, $(1,0)$. Find: $\iint_R \exp((y-x)/( y+x))\, dx\,dy.$

Using the substitution $z=y^2$ solve the differential equation ... given that when $x=4$ and $y=-5$ in the form $y=f(x)$

Use a substitution to turn $\cos(y)y'+ \tan(x)\sin(y)=\sin(x)$ into a linear differential equation.

What went wrong in this u-substitution in integrating functions in terms of sine?

How to remove the second two leading terms in the general quintic with just algebra?

Solving for $x$, $\sin^{10}{x}+\cos^{10}{x}=\frac{29}{16}\cos^4{2x}$

If $x>0$ and $y>0$ find the general solution to the differential equation giving your answer in the form $ye^{\frac{y}{x}}=f(x)$

Doubt with an inequality involving integrals

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