The general solution of d y d x = ^2(x-y-1) is given by x =

Step-by-step solution

d y d x = ^2(x-y-1) let x-y-1=P 1- d y d x = d p d x d y d x =1- d p d x Using above substitution in eq ^ n (i), we get aligned & 1- d p d x = ^2 p d p d x =1- ^2 p d p ^2 p =d x & cosec ^2 p d p=d x aligned Integrating both sides, we get :- aligned & - p = x + c ^ x =- c ^ - p & x = c - p where c ^ =- c & x = c - ( x - y -1) aligned