Question

(d^2 + 2d +1)y = 3^-1, y(0)=4

Answer 1

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) = Ax2ex. Read more on Sarthaks.com - https://www.sarthaks.com/388356/solve-d-2-2d-1-y-e-x-by-method-of-undetermined-coefficients