What is the solution for (dy)/(dx)=(7x)/(4y) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=(7x)/(4y)

\frac{d y}{d x} = \frac{7 x}{4 y}

y = \frac{c _{1} + 7 x ^{2}}{2}, y = - \frac{c _{1} + 7 x ^{2}}{2}

Solution steps

\frac{d y}{d x} = \frac{7 x}{4 y}

Solve separable ODE:

y = \frac{c _{1} + 7 x ^{2}}{2}, y = - \frac{c _{1} + 7 x ^{2}}{2}

y = \frac{c _{1} + 7 x ^{2}}{2}, y = - \frac{c _{1} + 7 x ^{2}}{2}

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