What is the solution for y^'+2sin(2x)y=2sin(2x),y(pi/2)=3 ?

The solution for y^'+2sin(2x)y=2sin(2x),y(pi/2)=3 is y=2e^{cos(2x)+1}+1

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y^'+2sin(2x)y=2sin(2x),y(pi/2)=3

y^{^{'}} + 2 sin (2 x) y = 2 sin (2 x), y (\frac{π}{2}) = 3

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

Solution steps

y^{'} (x) + 2 sin (2 x) y = 2 sin (2 x)

Solve separable ODE:

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

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

What is the solution for y^'+2sin(2x)y=2sin(2x),y(pi/2)=3 ?
The solution for y^'+2sin(2x)y=2sin(2x),y(pi/2)=3 is y=2e^{cos(2x)+1}+1