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

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

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

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

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

Solution steps

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

x \to 0 lim (\frac{2}{sin ( 7 x )})

n = 1 \sum \infty n^{\frac{1}{n}}

\int 7 x e^{5 x^{2}} d x

x \to 5 lim (5 x + 2)

y = x^{2} - 12 x + 4

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