What is the solution for (dy)/(dt)=(6t^2)/(5y) ?

The solution for (dy)/(dt)=(6t^2)/(5y) is y=sqrt((4t^3)/5+c_{1)},y=-sqrt((4t^3)/5+c_{1)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=(6t^2)/(5y)

\frac{d y}{d t} = \frac{6 t ^{2}}{5 y}

y = \frac{4 t ^{3}}{5} + c_{1}, y = - \frac{4 t ^{3}}{5} + c_{1}

Solution steps

\frac{d y}{d t} = \frac{6 t ^{2}}{5 y}

Solve separable ODE:

y = \frac{4 t ^{3}}{5} + c_{1}, y = - \frac{4 t ^{3}}{5} + c_{1}

y = \frac{4 t ^{3}}{5} + c_{1}, y = - \frac{4 t ^{3}}{5} + c_{1}

\frac{\frac{d y}{d x}}{y} = 5

\frac{d y}{d x} = \frac{- x}{y}, y (4) = - 3

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

y (1 - x) - x \frac{d y}{d x} = 0

\frac{d y}{d x} = \frac{x + 2}{y - 2}

What is the solution for (dy)/(dt)=(6t^2)/(5y) ?
The solution for (dy)/(dt)=(6t^2)/(5y) is y=sqrt((4t^3)/5+c_{1)},y=-sqrt((4t^3)/5+c_{1)}