The general solution of the differential equation ex dy + (y ex + 2x) dx = 0 is
(A) x ey + x2 = C
(B) x ey + y2 = C
(C) y ex + x2 = C
(D) y ey + x2 = C
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MATHEMATICS
422
Summary
� An equation involving derivatives of the dependent variable with respect to
independent variable (variables) is known as a differential equation � Order of a differential equation is the order of the highest order derivative
occurring in the differential equation � Degree of a differential equation is defined if it is a polynomial equation in its
derivatives � Degree (when defined) of a differential equation is the highest power (positive
integer only) of the highest order derivative in it