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Popular >

(dy)/(dt)=e^{-y}

Solution

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

Solution

y = ln (t + c_{1})

Solution steps

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

Solve separable ODE:

y = ln (t + c_{1})

y = ln (t + c_{1})

Graph

Popular Examples

integral of 1/9 e^{9x}

\int \frac{1}{9} e^{9 x} d x

derivative of (6x^2+1/(x^2+9))

\frac{d}{d x} (\frac{6 x ^{2} + 1}{x ^{2} + 9})

integral of y/((y+7)(2y-1))

\int \frac{y}{( y + 7 ) ( 2 y - 1 )} d y

- y^{^{''}} = 1

(t^2+16)y^'+2ty=t^2(t^2+16)

(t^{2} + 16) y^{^{'}} + 2 t y = t^{2} (t^{2} + 16)

Frequently Asked Questions (FAQ)

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