What is the solution for 6(t+1)((dy)/(dt))-5y=5t ?

The solution for 6(t+1)((dy)/(dt))-5y=5t is y=5t+6+c_{1}(t+1)^{5/6}

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

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

y = 5 t + 6 + c_{1} (t + 1)^{\frac{5}{6}}

Solution steps

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

Solve linear ODE:

y = 5 t + 6 + c_{1} (t + 1)^{\frac{5}{6}}

y = 5 t + 6 + c_{1} (t + 1)^{\frac{5}{6}}

x \to \frac{π}{2} lim (cos (3 x))

(1 + p^{2}) (x + e^{- x}) - 10

\int e^{x} sin^{2} (e^{x}) d x

y = x^{2}, y = x + 2, - 2, 2

x \to 3 + lim (\frac{x - 3}{∣ x - 3 ∣})

What is the solution for 6(t+1)((dy)/(dt))-5y=5t ?
The solution for 6(t+1)((dy)/(dt))-5y=5t is y=5t+6+c_{1}(t+1)^{5/6}