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Popular >

y^'-y=2te^{2t}

Solution

y^{^{'}} - y = 2 t e^{2 t}

Solution

y = 2 e^{2 t} (t - 1) + c_{1} e^{t}

Solution steps

y^{'} (t) - y = 2 t e^{2 t}

Solve linear ODE:

y = 2 e^{2 t} (t - 1) + c_{1} e^{t}

y = 2 e^{2 t} (t - 1) + c_{1} e^{t}

Popular Examples

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\frac{\partial}{\partial y} (2 x e^{x^{2} - y^{2}})

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\int y e^{- y} d y

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\frac{d}{d x} (cos^{2} (sin (4 x)))

y^{''}+5y^'+6y=2e^x,y(0)=1,y^'(0)=-1

y^{^{''}} + 5 y^{^{'}} + 6 y = 2 e^{x}, y (0) = 1, y^{^{'}} (0) = - 1

integral of 4sin(5x)+5cos(3x)

\int 4 sin (5 x) + 5 cos (3 x) d x

Frequently Asked Questions (FAQ)

What is the solution for y^'-y=2te^{2t} ?
The solution for y^'-y=2te^{2t} is y=2e^{2t}(t-1)+c_{1}e^t