What is the solution for (dy)/(dx)=(sqrt(x))/(7y) ?

The solution for (dy)/(dx)=(sqrt(x))/(7y) is y=sqrt(4/21 x^{3/2)+c_{1}},y=-sqrt(4/21 x^{3/2)+c_{1}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=(sqrt(x))/(7y)

\frac{d y}{d x} = \frac{x}{7 y}

y = \frac{4}{21} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{21} x^{\frac{3}{2}} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{x}{7 y}

Solve separable ODE:

y = \frac{4}{21} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{21} x^{\frac{3}{2}} + c_{1}

y = \frac{4}{21} x^{\frac{3}{2}} + c_{1}, y = - \frac{4}{21} x^{\frac{3}{2}} + c_{1}

What is the solution for (dy)/(dx)=(sqrt(x))/(7y) ?
The solution for (dy)/(dx)=(sqrt(x))/(7y) is y=sqrt(4/21 x^{3/2)+c_{1}},y=-sqrt(4/21 x^{3/2)+c_{1}}