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
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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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