What is the solution for (dx)/(dt)-5x=2t ?

The solution for (dx)/(dt)-5x=2t is x=-(2(5t+1))/(25)+c_{1}e^{5t}

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(dx)/(dt)-5x=2t

\frac{d x}{d t} - 5 x = 2 t

x = - \frac{2 ( 5 t + 1 )}{25} + c_{1} e^{5 t}

Solution steps

\frac{d x}{d t} - 5 x = 2 t

Solve linear ODE:

x = - \frac{2 ( 5 t + 1 )}{25} + c_{1} e^{5 t}

x = - \frac{2 ( 5 t + 1 )}{25} + c_{1} e^{5 t}

10 x

\frac{d x}{d y}, x y = 1

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

\int (\frac{9}{x ^{2} + 9})^{2} d x

\frac{d y}{d x} + 2 x y = 2 x e^{- x^{2}}

What is the solution for (dx)/(dt)-5x=2t ?
The solution for (dx)/(dt)-5x=2t is x=-(2(5t+1))/(25)+c_{1}e^{5t}