DIFFERENTIAL EQUATIONS 



8.705 



8.706 



v dy = dfe-SJW* dx + c 2 . 



8.707 



8.708 



y = 



y = e - bx {d + c fx-^ x dx} 



d 2 y a dy b 



J2+~J+"T>' = - 



ax 2 - x dx x* ' 



:. (a-i) 2 >4&; X = - V(^-i) 2 -4^ 



y = x 2 {ax + 



X = - 



2 

 a i 



3. (a - i) 2 

 8.709 



y = x 2 {ci cos (X log x) + c 2 sin (X log x}} 



y = X *~(Ci + C 2 log X). 



:. a<b, X = 



- a 



2. 



X = \/a b, 





- 

 = e 2 ci cos AX + c 2 sin \x). 



8.710 



(a + bx) + c, e x - (a 



r-r 6 Z JiC > 



189 



