DIFFERENTIAL EQUATIONS 



SPECIAL DIFFERENTIAL EQUATIONS AND THEIR SOLUTIONS IN TERMS O?M((X 7 X ) 



8.630 



qx) -f- + 40tq + p 2 - q 2 m 2 + 2qx(p 

 ax [ 



/ j \ 



8.631 



d*"V / *y\ dv { T / \ } 



1 _L I ^>V _l_ _L 1 _! I >/ J2 4% I _ / ,y t I _,. , \ I _ 



x\ )} y ~ 



7, 2to). 

 8.632 



' ^ /A ' ?*) -JL i- ^tf 1- 6 Ai - 4; -t- ^ -t- w - c*^ - wr ? y = o, 



8.633 



^ 



* x ~ T ~M (a, 7, 2tx). 

 8.634 



8.635 



^ 

 dx 



267 - 4 ac) + 2 a(b - c}x + b(b - 2c)x* y = o, 

 , 7, ra 2 ). 



8.640 Tables and graphs of the function M(a, 7, #) are given by Webb and 

 Airey (Phil. Mag. 36, p. 129, 1918) for getting approximate numerical solu- 



