Question

The Particular integral of the differential equation( D2+D+1)y=ex is equual to

(A) 1/3 .ex

(B) 3ex

(C) ex

(D) none of these​

Answer 1

Answer:

(C) ex

Step-by-step explanation:

Here yC.F. = c1ex + c2xex Since the right hand member of the complete equation is X(x) = ex, therefore the first possible assumption for particular integral would be yP.I. = Aex, but this solution has already occurred in yC.F. We, therefore, yP.I.(x) = Axex. Still this solution also has appeared in yC.F. We, therefore, again multiply by x and try yP.I.(x)