What is the solution for (dy}{dx}=\frac{15x^2)/y ?

The solution for (dy}{dx}=\frac{15x^2)/y is y=sqrt(10x^3+c_{1)},y=-sqrt(10x^3+c_{1)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy}{dx}=\frac{15x^2)/y

\frac{d y}{d x} = \frac{15 x ^{2}}{y}

y = 10 x^{3} + c_{1}, y = - 10 x^{3} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{15 x ^{2}}{y}

Solve separable ODE:

y = 10 x^{3} + c_{1}, y = - 10 x^{3} + c_{1}

y = 10 x^{3} + c_{1}, y = - 10 x^{3} + c_{1}

What is the solution for (dy}{dx}=\frac{15x^2)/y ?
The solution for (dy}{dx}=\frac{15x^2)/y is y=sqrt(10x^3+c_{1)},y=-sqrt(10x^3+c_{1)}