Question

what is tha solution off this equation answer me fast plz​

Answer 1

Answer:

Ques.

Solve by the method of variation of parameters d^2y/dx^2 + y = cosecx.

Solution

We have

(D2 + 1)y = cosec x

A.E. is m2 + 1 = 0 ⇒ m2 = – 1 ⇒ m = ± i

Hence the C.F. is given by

∴ yc = C1cos x + C2 sin x ...(1)

y = A cos x + B sin x ...(2)

be the complete solution of the given equation where A and B are to be found.

The general solution is y = Ay1 + By2

We have y1 = cos x and y2 = sin x

y′1 = – sin x and y′2 = cos x

W = y1y'2 - y2y'1

= cos x . cos x + sin x . sin x = cos2x + sin2x = 1

Hope it helpful for you

Hope it helpful for youplz mark as brainlist

Answer 2

The answer given above is correct!!!