The Solution of \(\frac{d y}{d x}=\frac{y+\sqrt{x^{2}-y^{2}}}{2}\) is……
A. sin-1(\(\frac{y}{x}\)) = 2 log |x| + c
B. sin-1(\(\frac{y}{x}\)) = log |x| + c
C. sin(\(\frac{x}{y}\)) = log |x| + c
D. sin(\(\frac{y}{x}\)) = log |y| + c
Answer:B
The Solution of \(\frac{d y}{d x}=\frac{y+\sqrt{x^{2}-y^{2}}}{2}\) is……
A. sin-1(\(\frac{y}{x}\)) = 2 log |x| + c B. sin-1(\(\frac{y}{x}\)) = log |x| + c C. sin(\(\frac{x}{y}\)) = log |x| + c D. sin(\(\frac{y}{x}\)) = log |y| + c