. Solve the following initial value problems. x 3
y ′′′
−x 2
y ′′
+2xy ′
−2y=0,x>0,y(1)=−1,y ′
(1)=−3,y ′′
(1)=1 y ′′′
−4y ′′
+y ′
+6y=8cosx+18x+3,y(0)=− 5
6

,y ′
(0)=−11,y ′′
(0)= 5
11

y ′′′
+2y ′′
=32e 2x
+24x,y(0)=6,y ′
(0)=0,y ′′
(0)=14