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Popular >

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

Solution

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

Solution

y = e^{2 t} t + c_{1} e^{2 t}

Solution steps

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

Solve linear ODE:

y = e^{2 t} t + c_{1} e^{2 t}

y = e^{2 t} t + c_{1} e^{2 t}

Popular Examples

area y=13-x^2,y=x^2-5 area

y = 13 - x^{2}, y = x^{2} - 5

(dy)/(dx)-sin(x)y=2sin(x)

\frac{d y}{d x} - sin (x) y = 2 sin (x)

d/(dt)((dx)/(dt))+d/(dt)x+2x=t^3

\frac{d}{d t} (\frac{d x}{d t}) + \frac{d}{d t} x + 2 x = t^{3}

x^2(dy)/(dx)=y-xy,y(-1)=-3

x^{2} \frac{d y}{d x} = y - x y, y (- 1) = - 3

integral of 1/((e^{-x)+1)}

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

Frequently Asked Questions (FAQ)

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