The solution of differential equation \(\frac{d y}{d x}=\frac{x-y}{x+y}\) is
A. x2 – y2 + 2xy + c = 0
B. x2 – y2 – xy + c = 0
C. x2 – y2 + xy + c = 0
D. x2 – y2 – 2xy + c = 0
Answer:D
The solution of differential equation \(\frac{d y}{d x}=\frac{x-y}{x+y}\) is
A. x2 – y2 + 2xy + c = 0 B. x2 – y2 – xy + c = 0 C. x2 – y2 + xy + c = 0 D. x2 – y2 – 2xy + c = 0