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Popular >

y^'=e^{-t+3y}

Solution

y^{^{'}} = e^{- t + 3 y}

Solution

y = - \frac{ln ( 3 e ^{- t} - c _{1} )}{3}

Solution steps

y^{'} (t) = e^{- t + 3 y}

Solve separable ODE:

y = - \frac{ln ( 3 e ^{- t} - c _{1} )}{3}

y = - \frac{ln ( 3 e ^{- t} - c _{1} )}{3}

Popular Examples

derivative of (x^2+3x+2)/x derivative of

\frac{x ^{2} + 3 x + 2}{x}

derivative of tan^2(1+x)

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

integral of 2te^{-st}

\int 2 t e^{- s t} d t

derivative of 3x-sin^2(x)

\frac{d}{d x} (3 x - sin^{2} (x))

integral of x^2e^{8x}

\int x^{2} e^{8 x} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{-t+3y} ?
The solution for y^'=e^{-t+3y} is y=-(ln(3e^{-t}-c_{1}))/3