Q
C
dx
dx
y e
e
dx
∫
∫
=
+
∫
(C)
(
)
1
1
P
P
Q1
C
dy
dy
x e
e
dy
∫
∫
=
+
∫
(D)
(
)
1
1
P
P
Q1
C
dx
dx
x e
e
dx
∫
∫
=
+
∫
18 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
© NCERT
not to be republished
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