Question
Question: The solution curve of \(\frac{dy}{dx}\)= \(\frac{y^{2} - 2xy - x^{2}}{y^{2} + 2xy - x^{2}}\), y(–1) ...
The solution curve of dxdy= y2+2xy−x2y2−2xy−x2, y(–1) = 1 is-
A
A parabola
B
Ellipse
C
Circle
D
Straight line
Answer
Straight line
Explanation
Solution
Solving the homogeneous equation, by using
y = vx, we find the solution x + y = c(x2 + y2) y(–1) = 1 Ž x + y = 0 which is a straight line.