What is the solution for (dy)/(dx)= x/(y^2sqrt(1+x)) ?

The solution for (dy)/(dx)= x/(y^2sqrt(1+x)) is y=\sqrt[3]{6(1/3 (1+x)^{3/2}-sqrt(1+x))+c_{1}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)= x/(y^2sqrt(1+x))

\frac{d y}{d x} = \frac{x}{y ^{2} 1 + x}

Solution steps

\frac{d y}{d x} = \frac{x}{y ^{2} 1 + x}

Solve separable ODE:

\int 2 e^{2 y} d y

\int_{- 12}^{0} \frac{1}{4 - x} d x

\frac{\partial}{\partial x} (x \cdot arctan (\frac{y}{x}))

\int \frac{x ^{2}}{( 15 + 6 x - 9 x ^{2} )} d x

n = 1 \sum \infty \frac{1}{3 ^{\frac{1}{n}}}

What is the solution for (dy)/(dx)= x/(y^2sqrt(1+x)) ?
The solution for (dy)/(dx)= x/(y^2sqrt(1+x)) is y=\sqrt[3]{6(1/3 (1+x)^{3/2}-sqrt(1+x))+c_{1}}