What is the solution for 5(dy)/(dt)+y=20t ?

The solution for 5(dy)/(dt)+y=20t is y=20(t-5)+(c_{1})/(e^{t/5)}

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5(dy)/(dt)+y=20t

5 \frac{d y}{d t} + y = 20 t

y = 20 (t - 5) + \frac{c _{1}}{e ^{\frac{t}{5}}}

Solution steps

5 \frac{d y}{d t} + y = 20 t

Solve linear ODE:

y = 20 (t - 5) + \frac{c _{1}}{e ^{\frac{t}{5}}}

y = 20 (t - 5) + \frac{c _{1}}{e ^{\frac{t}{5}}}

\int e^{5 - 2 x} d x

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

\frac{d y}{d x} (x) = y

\frac{\partial}{\partial x} ((x - a)^{2})

\int \frac{1}{2 x + 6} d x

What is the solution for 5(dy)/(dt)+y=20t ?
The solution for 5(dy)/(dt)+y=20t is y=20(t-5)+(c_{1})/(e^{t/5)}