(x^2.y^2 + xy +1)ydx + (x^2.y^2 - xy +1)xdy = 0 Solve the given differential equation with atleast two possible methods.
Question
Solution 1
The given differential equation is a homogeneous differential equation. We can solve it using two methods:
Method 1: Substitution Method We can make the substitution v = y/x or y = vx. Then, dy = vdx + xdv. Substituting these into the original equation, we get:
(x^2.v^2 + xv +1)vdx + (x^2.v^2 - x Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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