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in Differential equations by (55.1k points)

If the general solution for the differential equation dy/dx = y/x + ϕ(x/y) is y = x/ln(cx), then function ϕ(x/y) is

(A) -x2/y2

(B) -y2/x2

(C) y2/x2

(D) x2/y2

1 Answer

+1 vote
by (52.8k points)
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Best answer

Answer is (B) -y2/x2

Writing y = vx in the given equations, we get

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