What is the solution for y^'+(1/t)y=3cos(2t) ?

The solution for y^'+(1/t)y=3cos(2t) is y=(3(2tsin(2t)+cos(2t))}{4t}+\frac{c_{1})/t

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y^'+(1/t)y=3cos(2t)

y^{^{'}} + (\frac{1}{t}) y = 3 cos (2 t)

y = \frac{3 ( 2 t sin ( 2 t ) + cos ( 2 t ) )}{4 t} + \frac{c _{1}}{t}

Solution steps

y^{'} (t) + (\frac{1}{t}) y = 3 cos (2 t)

Solve linear ODE:

y = \frac{3 ( 2 t sin ( 2 t ) + cos ( 2 t ) )}{4 t} + \frac{c _{1}}{t}

y = \frac{3 ( 2 t sin ( 2 t ) + cos ( 2 t ) )}{4 t} + \frac{c _{1}}{t}

What is the solution for y^'+(1/t)y=3cos(2t) ?
The solution for y^'+(1/t)y=3cos(2t) is y=(3(2tsin(2t)+cos(2t))}{4t}+\frac{c_{1})/t