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 centre on the x-axis
(B) an ellipse with major axis along the y-axis
(C) a circle with centre on the y-axis
(D) a hyperbola with transverse axis along the x-axis
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Answer:A)Circle with centre on X Axis
Eqn in form of differential equation as x^2+y^2=Cx
Step-by-step explanation: Homogeneous Differential equation. Solved using substitution y=vx. Complete solution is attached in form of Image.
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