What is the solution for y^{''}+y=sec(t) ?

The solution for y^{''}+y=sec(t) is y=c_{1}cos(t)+c_{2}sin(t)+ln(cos(t))cos(t)+tsin(t)

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

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

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

Solution steps

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

Solve linear ODE:

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

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

n = 1 \sum \infty \frac{6 n}{9 - 2 n}

f (x) = (1 + x)^{- \frac{5}{3}}

\int x^{2} (6 x^{3} - 5)^{4} d x

x \to 0 lim (\frac{3 ^{x}}{3 ^{x} - 1})

\int arccot (4 x) d x

What is the solution for y^{''}+y=sec(t) ?
The solution for y^{''}+y=sec(t) is y=c_{1}cos(t)+c_{2}sin(t)+ln(cos(t))cos(t)+tsin(t)