Let C_{1} be the curve obtained by the solution of differential equation 2 x y \frac{d y}{d x}=y^{2}-x^{2}, x>0. Let the curve C_{2} be the solution of {2 x y}/{x^{2}-y^{2}}=\frac{d y}{d x}. If both the curves pass through (1,1), then the area enclosed by the curves C_{1} and C_{2} is equal to [16 Mar 2021 Shift 2]

Differential Equations Part 1

Section: Mathematics

Question : 30 of 100

Marks: +1, -0

Let C1 be the curve obtained by the solution of differential equation 2xy‌

=y2−x2,x>0. Let the curve C2 be the solution of ‌

2xy

x2−y2

=‌

. If both the curves pass through (1,1), then the area enclosed by the curves C1 and C2 is equal to

[16 Mar 2021 Shift 2]

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