DIFFERENTIAL EQUATIONS 

 ORDINARY DIFFERENTIAL EQUATIONS OF SPECIAL TYPES 



8.300 



d^y_ 



dx" ~ A ' 

 where X is a function of x only. 



x -""" 1 Tdt ^ 1 cn ~ 2 



c ^~ + . . . + ^ x + Cn , 



where T is the same function of t that X is of #. 

 8.301 



where Y is a function of y only. 

 If 



the solution is: 



8.302 



Put 



^v 



W0H 



n ~ l 



and this equation may be solved by 8.300. 

 Or the equation can be solved: 



/dY f dY CYdY 



F(Y)J F(Y) J F(Y)> 



where the integration is to be carried out from right to left and an arbitrary 

 constant added after each integration. Eliminating F between this result and 



gives the solution. 

 8.303 



dx n 



