The curve amongst the family of curves, represented by the differential equation,
(x2−y2)dx+2xy dy=0 which passes through (1, 1) is
(a) A circle with center on the y-axis
(b) A circle with center on the x-axis
(c) An ellipse with major axis along the y-axis
(d) A hyperbola with transverse axis along the x-axis
Question ID - 56955 | SaraNextGen Top Answer The curve amongst the family of curves, represented by the differential equation,
(x2−y2)dx+2xy dy=0 which passes through (1, 1) is
(a) A circle with center on the y-axis
(b) A circle with center on the x-axis
(c) An ellipse with major axis along the y-axis
(d) A hyperbola with transverse axis along the x-axis
The curve amongst the family of curves, represented by the differential equation,
(x2−y2)dx+2xy dy=0 which passes through (1, 1) is
(a) A circle with center on the y-axis
(b) A circle with center on the x-axis
(c) An ellipse with major axis along the y-axis
(d) A hyperbola with transverse axis along the x-axis
1 Answer
127 votes
Answer Key / Explanation : (b) -
(x2−y2)dx+2xy day =0
Put y=vx⇒
=v+x
Solving we get
ln(v2+1)= −ln×+c
(y2+x2)=cx
1+1=c
⇒c=2
y2+x2=2x
∴Option(b)
127 votes
Answer Link
127