Let `y_(1) and y_(2)` be the two solutions of the differential equation `(dy)/(dx)+Py=Q`,
Channel: Doubtnut
Date: 2020-05-31

Let `y_(1) and y_(2)` be the two solutions of the differential equation `(dy)/(dx)+Py=Q`, where P and Q are functions of x,  Statement-1: The linear combination `ay_(1)+by_(2)` will be a solution of the differential equation, if `a+b=1`.  Statement-2 : The general solution of the differential equation is `y=y_(1)+C(y_(1)-y_(2))`.