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Popular >

y^'=tye^{-t}

Solution

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

Solution

y = e^{- e^{- t} t - e^{- t} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- e^{- t} t - e^{- t} + c_{1}}

y = e^{- e^{- t} t - e^{- t} + c_{1}}

Popular Examples

integral of 1/(2x+9)

\int \frac{1}{2 x + 9} d x

derivative of 2ln(x+2)

\frac{d}{d x} (2 ln (x) + 2)

y^'=(1+x)/(xy^{12)}

y^{^{'}} = \frac{1 + x}{x y ^{12}}

sum from n=1 to infinity of 3/(nsqrt(n))

n = 1 \sum \infty \frac{3}{n n}

area f(x)=x^3,g(x)=4x area

f (x) = x^{3}, g (x) = 4 x

Frequently Asked Questions (FAQ)

What is the solution for y^'=tye^{-t} ?
The solution for y^'=tye^{-t} is y=e^{-e^{-t}t-e^{-t}+c_{1}}