What is the solution for y^'+y/t =2cos(3t) ?

The solution for y^'+y/t =2cos(3t) is y=(2(3tsin(3t)+cos(3t))}{9t}+\frac{c_{1})/t

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y^'+y/t =2cos(3t)

y^{^{'}} + \frac{y}{t} = 2 cos (3 t)

y = \frac{2 ( 3 t sin ( 3 t ) + cos ( 3 t ) )}{9 t} + \frac{c _{1}}{t}

Solution steps

y^{'} (t) + \frac{y}{t} = 2 cos (3 t)

Solve linear ODE:

y = \frac{2 ( 3 t sin ( 3 t ) + cos ( 3 t ) )}{9 t} + \frac{c _{1}}{t}

y = \frac{2 ( 3 t sin ( 3 t ) + cos ( 3 t ) )}{9 t} + \frac{c _{1}}{t}

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What is the solution for y^'+y/t =2cos(3t) ?
The solution for y^'+y/t =2cos(3t) is y=(2(3tsin(3t)+cos(3t))}{9t}+\frac{c_{1})/t