Homework Soursea singular points of given differential eguation SolutionSIn
a singular points of given differential eguation ![a singular points of given differential eguation SolutionSIngular points are points where coefficients of highest order derivative vanish ie coefficients of y\](/WebImages/9/a-singular-points-of-given-differential-eguation-solutionsin-999373-1761514645-0.webp "a singular points of given differential eguation SolutionSIngular points are points where coefficients of highest order derivative vanish ie coefficients of y\")
Solution
SIngular points are points where coefficients of highest order derivative vanish ie coefficients of y\'\'
Coeffiicient of y\'\' is
x^3(1-x^2)
Setting it to 0 gives
x=0,1,-1
These are the three singular points of this ode
