What is the solution for x(dy)/(dx)=x^3+9x^3y ?

The solution for x(dy)/(dx)=x^3+9x^3y is y=(e^{3x^3+c_{1}})/9-1/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x(dy)/(dx)=x^3+9x^3y

x \frac{d y}{d x} = x^{3} + 9 x^{3} y

y = \frac{e ^{3 x^{3} + c_{1}}}{9} - \frac{1}{9}

Solution steps

x \frac{d y}{d x} = x^{3} + 9 x^{3} y

Solve separable ODE:

y = \frac{e ^{3 x^{3} + c_{1}}}{9} - \frac{1}{9}

y = \frac{e ^{3 x^{3} + c_{1}}}{9} - \frac{1}{9}

y^{^{''}} = 6 x, y (0) = 1, y^{^{'}} (0) = - 1

\int \frac{1}{49 - 64 x ^{2}} d x

\frac{\partial}{\partial y} (x^{4} + x^{2} y + x + 5)

sin (\frac{x - 3}{2 x})

\int_{- \infty}^{0} \frac{1}{6 - 3 x} d x

What is the solution for x(dy)/(dx)=x^3+9x^3y ?
The solution for x(dy)/(dx)=x^3+9x^3y is y=(e^{3x^3+c_{1}})/9-1/9