Answer to Question #50900 in Differential Equations for Nayan Jyoti Das

Question

6. Find the integral curves of the following equations:

a) dx / x^2 - y^2 - yz = dy / x^2 - y^2 - zx = dz / z (x - y)

b) dx / x^2 + y^2 = dy / 2xy = dz / z (x + y)

c) Find the integral surface of the partial differential equation
(x - y) y^2 p + (y - x) x^2 q = (x^2 + y^2 ) z
through the curve xz = a^2, y = 0