What is the solution for y^{''}+y= 1/((cos(x))) ?

The solution for y^{''}+y= 1/((cos(x))) is y=c_{1}cos(x)+c_{2}sin(x)+ln(cos(x))cos(x)+xsin(x)

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y^{''}+y= 1/((cos(x)))

y^{^{''}} + y = \frac{1}{( cos ( x ) )}

y = c_{1} cos (x) + c_{2} sin (x) + ln (cos (x)) cos (x) + x sin (x)

Solution steps

y^{''} (x) + y = \frac{1}{( cos ( x ) )}

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + ln (cos (x)) cos (x) + x sin (x)

y = c_{1} cos (x) + c_{2} sin (x) + ln (cos (x)) cos (x) + x sin (x)

What is the solution for y^{''}+y= 1/((cos(x))) ?
The solution for y^{''}+y= 1/((cos(x))) is y=c_{1}cos(x)+c_{2}sin(x)+ln(cos(x))cos(x)+xsin(x)