What is the solution for (dy)/(dx)=(4x)/(3y) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=(4x)/(3y)

\frac{d y}{d x} = \frac{4 x}{3 y}

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

Solution steps

\frac{d y}{d x} = \frac{4 x}{3 y}

Solve separable ODE:

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

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

x \to 0 lim (\frac{3}{x ^{2}})

x \to 3 lim (2 x^{2})

x \to 3 lim (2 x^{2} + 5 x - 2)

d er i v a t i v e (x + 1)^{x}

\frac{d}{d x} (x^{5} + 2)

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