What is the solution for 9(t+1)(dy)/(dt)-7y=14t ?

The solution for 9(t+1)(dy)/(dt)-7y=14t is y=7t+9+c_{1}(t+1)^{7/9}

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9(t+1)(dy)/(dt)-7y=14t

9 (t + 1) \frac{d y}{d t} - 7 y = 14 t

y = 7 t + 9 + c_{1} (t + 1)^{\frac{7}{9}}

Solution steps

9 (t + 1) \frac{d y}{d t} - 7 y = 14 t

Solve linear ODE:

y = 7 t + 9 + c_{1} (t + 1)^{\frac{7}{9}}

y = 7 t + 9 + c_{1} (t + 1)^{\frac{7}{9}}

\frac{\partial}{\partial x} (- 5 x^{2} + 7 y^{5} x)

h (x) = tan (4 x^{2} - 3 x - 4)

\int 7 cot^{4} (x) d x

2 x y - 9 x^{2} + (2 y + x^{2} + 1) y^{^{'}} = 0

\frac{d}{d x} (5 tan (2 x^{3}) + \frac{2}{x ^{2}})

What is the solution for 9(t+1)(dy)/(dt)-7y=14t ?
The solution for 9(t+1)(dy)/(dt)-7y=14t is y=7t+9+c_{1}(t+1)^{7/9}