3. [0/14.28 Points] DETAILS MY NOTES ZILLDIFFEQMODAP12 2.5.003.EP. Consider the following homogeneous differential equation. $$xdx + (y -2x) dy = 0$$ Use the substitution $$x = vy$$ to write the given differential equation in terms of only y and v. Solve the given differential equation. (Enter your answer in terms of x and y.) Need Help? Read It SUBMIT ANSWER
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We need to find $$dx$$ in terms of $$v$$ and $$y$$. $$x = vy$$ Differentiating with respect to y, we get $$dx = vdy + ydv$$ Show more…
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