Homework Statement
Solve the following initial value problem
y'' - 5y' +6y = x*exp(2x), y(0) = y'(0) = 0
Homework Equations
The Attempt at a Solution
Ive found the complimentary solution to be r = 3, 2,
Yg = C1*exp(3x) + C2*exp(2x) + Yp
But to find Yp is giving me the...
I checked it on mathworld that one of the special cases off the hypergeometric function is F(1,1,1;x) is 1 / (1-x) and i want to know how to show it one of my questions is also show that F(1, b, b;x) is the sum to infinity of x^n
How would i go about showing the special case F(1, b, b; x) of the hypergeometic function is the geometric series and also how the geometric series is = 1/ (1 -x)
Cheers,
Dave
Ya its just that it it gets really messy and I am not sure how to manipluate it properly do you, the eqn is what your supposed to get if you solve it with r =0 know any good sources on the internet for solving these things.
Cheers dave