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 0 lim (\frac{( x ^{2} - 2 )}{x})

\frac{d}{d x} (x^{4} + y^{4} + z^{4} - 4 x y z)

\int \frac{x}{x - 3} d x

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

4 cos (7 x), 4 - 4 cos (7 x), 0, \frac{π}{7}

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}