What is the solution for (dy)/(dt)=-t/y ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=-t/y

\frac{d y}{d t} = - \frac{t}{y}

y = - t^{2} + c_{1}, y = - - t^{2} + c_{1}

Solution steps

\frac{d y}{d t} = - \frac{t}{y}

Solve separable ODE:

y = - t^{2} + c_{1}, y = - - t^{2} + c_{1}

y = - t^{2} + c_{1}, y = - - t^{2} + c_{1}

\frac{\partial}{\partial x} (\frac{y}{2 x} - 5)

\int sin^{3} (17 x) d x

\int (sin (2 x) + cos (3 x)) d x

\int - 3 e^{- t} d t

3 t cos (2 t)

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