What is the solution for y^'+sin(t)y=sin(t),y(0)=3 ?

The solution for y^'+sin(t)y=sin(t),y(0)=3 is y=2e^{cos(t)-1}+1

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y^'+sin(t)y=sin(t),y(0)=3

y^{^{'}} + sin (t) y = sin (t), y (0) = 3

y = 2 e^{c o s (t) - 1} + 1

Solution steps

y^{'} (t) + sin (t) y = sin (t)

Solve separable ODE:

y = 2 e^{c o s (t) - 1} + 1

y = 2 e^{c o s (t) - 1} + 1

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What is the solution for y^'+sin(t)y=sin(t),y(0)=3 ?
The solution for y^'+sin(t)y=sin(t),y(0)=3 is y=2e^{cos(t)-1}+1