What is the solution for (dy)/(dt)=-t/y ,y(0)=4 ?

The solution for (dy)/(dt)=-t/y ,y(0)=4 is y=sqrt(-t^2+16)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=-t/y ,y(0)=4

\frac{d y}{d t} = - \frac{t}{y}, y (0) = 4

y = - t^{2} + 16

Solution steps

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

Solve separable ODE:

y = - t^{2} + 16

y = - t^{2} + 16

\frac{d}{d x} (\frac{x ^{2} + 2 x}{1 - x ^{2}})

x^{4} + 6 x^{2} - x

\int \frac{sin ( y )}{cos ( y )} d y

\frac{\partial}{\partial y} (- e^{- x} sin (y))

\frac{\partial}{\partial y} (4 x^{2} + 4 x y - 3 y^{2} + 4 y - 1)

What is the solution for (dy)/(dt)=-t/y ,y(0)=4 ?
The solution for (dy)/(dt)=-t/y ,y(0)=4 is y=sqrt(-t^2+16)