What is the solution for t*(dy)/(dt)=t^3+11t^3y ?

The solution for t*(dy)/(dt)=t^3+11t^3y is y=(e^{(11t^3+c_{1})/3})/(11)-1/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

t*(dy)/(dt)=t^3+11t^3y

t \cdot \frac{d y}{d t} = t^{3} + 11 t^{3} y

y = \frac{e ^{\frac{11 t ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

Solution steps

t \cdot \frac{d y}{d t} = t^{3} + 11 t^{3} y

Solve separable ODE:

y = \frac{e ^{\frac{11 t ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

y = \frac{e ^{\frac{11 t ^{3} + c _{1}}{3}}}{11} - \frac{1}{11}

What is the solution for t*(dy)/(dt)=t^3+11t^3y ?
The solution for t*(dy)/(dt)=t^3+11t^3y is y=(e^{(11t^3+c_{1})/3})/(11)-1/11