What is the solution for 11(t+1)(dy)/(dt)-8y=24t,y(0)=16 ?

The solution for 11(t+1)(dy)/(dt)-8y=24t,y(0)=16 is y=8t+11+5(t+1)^{8/11}

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11(t+1)(dy)/(dt)-8y=24t,y(0)=16

11 (t + 1) \frac{d y}{d t} - 8 y = 24 t, y (0) = 16

y = 8 t + 11 + 5 (t + 1)^{\frac{8}{11}}

Solution steps

11 (t + 1) \frac{d y}{d t} - 8 y = 24 t

Solve linear ODE:

y = 8 t + 11 + 5 (t + 1)^{\frac{8}{11}}

y = 8 t + 11 + 5 (t + 1)^{\frac{8}{11}}

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

\int sin (2 π x) d x

\frac{d}{d x} (3 x^{2} - 6 x + 10)

1 - 2 x y^{^{'}} = (4 + y^{2})

g (x) = 5

What is the solution for 11(t+1)(dy)/(dt)-8y=24t,y(0)=16 ?
The solution for 11(t+1)(dy)/(dt)-8y=24t,y(0)=16 is y=8t+11+5(t+1)^{8/11}