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in Differential equations by (36.4k points)

Solve: y' = (y/x) + (φ(y/x)/φ'(y/x)).

1 Answer

+1 vote
by (33.1k points)
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Best answer

The given differential equation is

Integrating, we get 

log |φ(v)| = log |x| + log c

log |φ(v)| = log |cx|

|φ(v)| = cx

φ(y/x) = cx

which is the required solution.

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