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Popular >

(dy)/(dt)+2ty=t

Solution

\frac{d y}{d t} + 2 t y = t

Solution

y = \frac{e ^{- t^{2} + c_{1}}}{2} + \frac{1}{2}

Solution steps

\frac{d y}{d t} + 2 t y = t

Solve separable ODE:

y = \frac{e ^{- t^{2} + c_{1}}}{2} + \frac{1}{2}

y = \frac{e ^{- t^{2} + c_{1}}}{2} + \frac{1}{2}

Popular Examples

(x^2y-2xy)dx+3xy^2dy=0

(x^{2} y - 2 x y) d x + 3 x y^{2} d y = 0

y^{^{'}} = (2 - y) (1 - y)

(dx)/(dt)=1-x/(40)

\frac{d x}{d t} = 1 - \frac{x}{40}

(dy)/(dx)=2e^{x-y},y(0)=ln(5)

\frac{d y}{d x} = 2 e^{x - y}, y (0) = ln (5)

y^'=e^{2y}sin(x),y(0)=0

y^{^{'}} = e^{2 y} sin (x), y (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+2ty=t ?
The solution for (dy)/(dt)+2ty=t is y=(e^{-t^2+c_{1}})/2+1/2