What is the solution for t(dy)/(dt)=(t^3+22t^3*y) ?

The solution for t(dy)/(dt)=(t^3+22t^3*y) is y=(e^{(22t^3+c_{1})/3})/(22)-1/22

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

t(dy)/(dt)=(t^3+22t^3*y)

t \frac{d y}{d t} = (t^{3} + 22 t^{3} \cdot y)

y = \frac{e ^{\frac{22 t ^{3} + c _{1}}{3}}}{22} - \frac{1}{22}

Solution steps

t \frac{d y}{d t} = (t^{3} + 22 t^{3} \cdot y)

Solve separable ODE:

y = \frac{e ^{\frac{22 t ^{3} + c _{1}}{3}}}{22} - \frac{1}{22}

y = \frac{e ^{\frac{22 t ^{3} + c _{1}}{3}}}{22} - \frac{1}{22}

\int \frac{x ^{8}}{1 + x ^{18}} d x

\frac{d}{d x} (2 x e^{x^{2} - 1})

f (30) = \frac{850}{d}

\frac{d}{d x} (\frac{5}{x + 7})

x \to - 2 lim (\frac{x + 1}{x ^{2} - 2})

What is the solution for t(dy)/(dt)=(t^3+22t^3*y) ?
The solution for t(dy)/(dt)=(t^3+22t^3*y) is y=(e^{(22t^3+c_{1})/3})/(22)-1/22