Question

1. (x2-5x)y”-yʻ- y=0 Find the ordinary and singular points of the differential equation.

Answer 1

-52 54J-'70 know that general differential canation of homogeneous Splond order differential canation is Now Plan de +86n) ay Congo Cy2 then ploe) = 20²5 re , & (u) = -1 , RG1) = -1 New we know theat for ordinary point Plow to at :90 Now Now (42-520)7.0 -> m (7-5) 70 ante ace that pu) to at a R-605} them oncinary pourt is P- 50.5?. and for singular point. Plan) so at vino Now (5)=0 (4-5) 50 M lore25 By the we see plous to al re-ofn: 5 plon singulas paimtis 90 15