Use the result of Exercise 15 to solve the differential equation in Exercise 11.
Exercise 15
Show that if the differential equation
M(x, y) dx + N(x, y) dy = 0 has homogeneous coefficients, then
is an integrating factor for the differential equation.
Exercise 11
In each of Exercise, show that the differential equation has homogeneous coefficients and then solve it.
(x2 – y2) dx + xy dy = 0
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