What is the solution for 9(t+1)(dy)/(dt)-5y=20t ?

The solution for 9(t+1)(dy)/(dt)-5y=20t is y=5t+9+c_{1}(t+1)^{5/9}

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9(t+1)(dy)/(dt)-5y=20t

9 (t + 1) \frac{d y}{d t} - 5 y = 20 t

y = 5 t + 9 + c_{1} (t + 1)^{\frac{5}{9}}

Solution steps

9 (t + 1) \frac{d y}{d t} - 5 y = 20 t

Solve linear ODE:

y = 5 t + 9 + c_{1} (t + 1)^{\frac{5}{9}}

y = 5 t + 9 + c_{1} (t + 1)^{\frac{5}{9}}

\int \frac{u}{1 - u} d u

\int x^{- 3} ln (5 x) d x

n = 6 \sum \infty e^{5 - 2 n}

\frac{d}{d x} (\frac{e ^{x} + 1}{e ^{x} - 1})

d er i v a t i v e f (x) = 9 x^{8} e^{x} + e^{x} x^{9}

What is the solution for 9(t+1)(dy)/(dt)-5y=20t ?
The solution for 9(t+1)(dy)/(dt)-5y=20t is y=5t+9+c_{1}(t+1)^{5/9}