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Popular Calculus >

(dx)/(dt)+2tx=t

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)+2tx=t ?
The solution for (dx)/(dt)+2tx=t is x=(e^{-t^2+c_{1}})/2+1/2