Q. 32

Mark the correct alternative in each of the following:

The differential equation has the general solution

A. y – x3 = 2cx

B. 2y – x3 = cx

C. 2y + x2 = 2cx

D. y + x2 = 2cx

Answer :

Divide both sides by x we get,

Since it is a form of linear differential equation where

and Q = x2

Integrating Factor (I.F) = e∫ p dx

Solution of differential equation is given by

y.(I.F) = ∫ Q.(I.F) dx + C

2y – x3 = cx = (B)

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