Differential EquationHard

Question

The solution of the differential equation (x + y) (dx - dy) = dx + dy is

Options

A.x + y = Ce^x+y

B.x - y = Ce^x-y

C.x + y = Ce^x-y

D.None

Solution

θ put x + y = v
1 + ⇒ (1 + v) dv = - 2dx
+ v = - 2x + c
+ (x + y) = - 2x + c

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