What is the solution for (dy)/(dt)-0.1y=-t ?

The solution for (dy)/(dt)-0.1y=-t is y=100(0.1t+1)+c_{1}e^{0.1t}

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(dy)/(dt)-0.1y=-t

\frac{d y}{d t} - 0.1 y = - t

y = 100 (0.1 t + 1) + c_{1} e^{0.1 t}

Solution steps

\frac{d y}{d t} - 0.1 y = - t

Solve linear ODE:

y = 100 (0.1 t + 1) + c_{1} e^{0.1 t}

y = 100 (0.1 t + 1) + c_{1} e^{0.1 t}

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

\frac{1}{sin ^{2} ( x )}

\int x^{2} 9 + x d x

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

(x^{2} + 1) \frac{d y}{d x} + 6 x (y - 1) = 0, y (0) = 8

What is the solution for (dy)/(dt)-0.1y=-t ?
The solution for (dy)/(dt)-0.1y=-t is y=100(0.1t+1)+c_{1}e^{0.1t}