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Army Group X Practice Set 3
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© examsnet.com
Question : 66
Total: 70
Find the solution of the differential equation
d
y
d
x
=
e
x
+
y
.
e
−
x
+
e
−
y
=
C
e
−
x
+
e
y
=
C
e
x
+
e
−
y
=
C
e
x
+
y
=
C
Validate
Solution:
Given,
d
y
d
x
=
e
x
+
y
⇒
d
y
d
x
=
e
x
.
e
y
⇒
d
y
e
y
=
e
2
d
x
Integrating both sides, we get
⇒
∫
e
−
y
d
y
=
∫
e
x
d
x
⇒
−
c
−
y
=
c
x
+
C
e
x
+
e
−
y
=
C
© examsnet.com
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