Differential-Equation-1-x-d-2-y-dx-2-x-dy-dx-xy-1-1-x-x-1-has-the-power-series-solution-for-x-lt-1-

Question Number 119510 by syamil last updated on 25/Oct/20

D i f f e r e n t i a l E q u a t i o n

(1 - x) \frac{d^{2} y}{{d x}^{2}} + x \frac{d y}{d x} - x y = \frac{1}{1 - x}, x \neq 1

h a s t h e p o w e r s e r i e s s o l u t i o n f o r ∣ x ∣< 1