Differential EquationHard

Question

The solution of the differential equation ydx + (x + x² y) dy = 0 is -

Options

A. + log y = c

B.log y = cx

C.- = c

D.- + log y = c

Solution

y dx + x dy = - x²y dy
⇒ dy
⇒ dy
- = - lny + c ⇒ - + lny = c

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