Question

Solve

the Differential equation ( Ordinary 2nd order non-homogeneous differential equation with constant coefficient)

Answer 1

ok, whats the eqn

Answer 2

Problem

Answer 3

The differential operator method will fail. Hence, undetermined coefficient will fail too.

I got this integral using variation of parameters

integrate of e^2x/ sqrt(x) dx which has no elementary function , did I do a mistake ?

Answer 4

give me a mintue to calculate, almost there

Answer 5

Take your time.

Answer 6

our complementary solutions are e^x and x*e^x, so we just need the particular integral

Answer 7

yep

Answer 8

our wrokian is (1-x^2)*e^(2x)