In 1 –10 determine the singular points of the given differential equation. Classify each singular point as regular or irregular.

Solution Step1Given thatWe have to find the singular points of the differential equation and we have to group each singular point as regular or irregularStep2 Singular points : Values of x that make P(x)=0Here The singular points areNow Calculate the limits for the singular point is regular or irregular =0Thus the limit exist.Then x=0 is regular singular point.Step 3Now at x= 1Calculating the limits for =Limit is doest not exist. Then at x=1 is an irregular singular point.Therefore, the singular points of the differential equation are 0,11 is an irregular and 0 is regular.