What is the solution for x(dy)/(dx)=x^3+24x^3y ?

The solution for x(dy)/(dx)=x^3+24x^3y is y=(e^{8x^3+c_{1}})/(24)-1/24

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

x(dy)/(dx)=x^3+24x^3y

x \frac{d y}{d x} = x^{3} + 24 x^{3} y

y = \frac{e ^{8 x^{3} + c_{1}}}{24} - \frac{1}{24}

Solution steps

x \frac{d y}{d x} = x^{3} + 24 x^{3} y

Solve separable ODE:

y = \frac{e ^{8 x^{3} + c_{1}}}{24} - \frac{1}{24}

y = \frac{e ^{8 x^{3} + c_{1}}}{24} - \frac{1}{24}

What is the solution for x(dy)/(dx)=x^3+24x^3y ?
The solution for x(dy)/(dx)=x^3+24x^3y is y=(e^{8x^3+c_{1}})/(24)-1/24