Consider the family of curves Ax2+By2=1. If this family of curve is represented by the differential equation P.y′′+Q(y′)2=yy′, where P and Q are functions of x and y, then which of the following statement (s) is/are correct? (y′=dydx and y′′=d2ydx2)

Consider the family of curves Ax2+By2=1. If this family of curve is re

1.	Consider the family of curves Ax2+By2=1. If this family of curve is represented by the differential equation P.y′′+Q(y′)2=yy′, where P and Q are functions of x and y, then which of the following statement (s) is/are correct? (y′=dydx and y′′=d2ydx2)
Answer» Consider the family of curves $A x^{2} + B y^{2} = 1$ . If this family of curve is represented by the differential equation $P . y^{''} + Q (y^{'})^{2} = y y^{'}$ , where P and Q are functions of x and y, then which of the following statement (s) is/are correct? $(y^{'} = \frac{d y}{d x} and y^{''} = \frac{d^{2} y}{d x^{2}})$