The Integrating Factor of the differential equation (1−y2)dydx+yx=ay , (−1<y<1)is
(A) y2−11 (B) y2−11 (C) 1−y21 (D) 1−y21
Form the differential equation representing the family of curves given by (x−a)2+2y2=a2, where a is an arbitrary constant.
Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:y=x2+2x+C : yprime−2x−2=0
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b. y=ex(acosx+bsinx)