Question

The solution of the differential equation (d^2 y)(dx) ^2 +y = secx is:​

Answer 1

Answer:

Solvey y"+ y = sec (X)

We can use varition of parameterms

First we"l isolate the characteristic equation (also)

know as auriliary complementary equation etc).

and find the soloution to the homenous equation

( the equation where the RHS is zero):

CE : r² + 1 = 0, ri = I , rs = -i

Since the solution to. an ODE whos characteristic equation has complex reat a , Bi takes the

from C¹e cos ( Bx ) + C2e sin ( BX

* yh (x) = C1 cos (x) + C2 cos (x) + C2 sin (x).