Consider the differential equation
x2 y11 – xy1 + y = (log x)2, then
1
The complementary function is (C1 + C2 log x) ex
2
The complementary function is (C1 + C2 log x)x
3
The complete solution is given by (C1 + C2 log x) x + (log x)2 + 4 log x + 6
4
The complete solution is given by (C1 + C2 ex) x + (log x)2 + 4 log x + 6