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Mathematics
Problem
The general solution of the differential equation
d
y
d
x
=
e
x
+
y
\frac{dy}{dx} = e^{x+y}
d
x
d
y
=
e
x
+
y
is (A)
e
x
+
e
−
y
=
C
e^x + e^{-y} = C
e
x
+
e
−
y
=
C
(B)
e
x
+
e
y
=
C
e^x + e^y = C
e
x
+
e
y
=
C
(C)
e
−
x
+
e
y
=
C
e^{-x} + e^y = C
e
−
x
+
e
y
=
C
(D)
e
−
x
+
e
−
y
=
C
e^{-x} + e^{-y} = C
e
−
x
+
e
−
y
=
C
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