verify-that-x-and-x-are-the-solution-of-the-homogeneous-equation-corresponding-to-1-x-y-2-xy-1-y-2-x-1-2-x-0-lt-x-lt-1-and-find-the-general-solution-

Question Number 133403 by Engr_Jidda last updated on 21/Feb/21

v e r i f y t h a t ϱ^{x} a n d x a r e t h e s o l u t i o n

o f t h e h o m o g e n e o u s e q u a t i o n c o r r e s p o n d i n g

t o (1 - x) y^{2} + {x y}^{1} - y = 2 {(x - 1)}^{2} ϱ^{x}, 0 < x < 1

a n d f i n d t h e g e n e r a l s o l u t i o n .