Q. 45

Mark the correct alternative in each of the following:

Which of the following differential equations has y = C1 ex + C2 e–x as the general solution?

A.

B.

C.

D.

Answer :

Solving for (A)





For general solution put (D2 + 1) = 0




General solution, y = C1 cos x + C2 sin x


Solving for (B)






For general solution put (D2 – 12) = 0




General solution, y = C1 ex + C2 e-x = (B) which is required solution.

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