Find the particular solution to the differential equation using method of variation of parameters:
The Attempt at a Solution
then the homogeneous solution is:
set y1= e^(t/2), y2= te^(t/2)
then y1' = (1/2)*e^(t/2), y2' = (t/2+1)*e^(t/2)
Wronskian = W(y1,y2) = e^t
I know i did something wrong because checking my answer by plugging Y(t) back in to the O.D.E , left hand side and right hand side dont check out.
By using method of undetermined coefficients, Y(t) = 2t^2*e^(t/2), which is the correct answer.
So question is what did i do wrong using method of variation of parameters?
Last edited by a moderator: