Question

(x^2D^2+2xD-20)y=(1+x)^2

Answer 1

Answer:

Solve (D2 – 2D + 1)y = ex by method of undetermined coefficientRead more on Sarthaks.com - https://www.sarthaks.com/388356/solve-d-2-2d-1-y-e-x-by-method-of-undetermined-coefficients

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.