What is the solution for y^{''}+y=tan(x),y(0)=0,y^'(0)=1 ?

The solution for y^{''}+y=tan(x),y(0)=0,y^'(0)=1 is y=2sin(x)-cos(x)ln(tan(x)+sec(x))

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y^{''}+y=tan(x),y(0)=0,y^'(0)=1

y^{^{''}} + y = tan (x), y (0) = 0, y^{^{'}} (0) = 1

y = 2 sin (x) - cos (x) ln (tan (x) + sec (x))

Solution steps

y^{''} (x) + y = tan (x)

Solve linear ODE:

y = 2 sin (x) - cos (x) ln (tan (x) + sec (x))

y = 2 sin (x) - cos (x) ln (tan (x) + sec (x))

What is the solution for y^{''}+y=tan(x),y(0)=0,y^'(0)=1 ?
The solution for y^{''}+y=tan(x),y(0)=0,y^'(0)=1 is y=2sin(x)-cos(x)ln(tan(x)+sec(x))