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Byju's Answer
Standard XII
Mathematics
Angle between Two Planes
d y d x=e x+y...
Question
d
y
d
x
=
e
x
+
y
+
e
-
x
+
y
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Solution
We
have
,
d
y
d
x
=
e
x
+
y
+
e
-
x
+
y
⇒
d
y
d
x
=
e
y
e
x
+
e
-
x
⇒
e
-
y
d
y
=
e
x
+
e
-
x
d
x
Integrating
both
sides
,
we
get
∫
e
-
y
d
y
=
∫
e
x
+
e
-
x
d
x
⇒
-
e
-
y
=
e
x
-
e
-
x
+
C
⇒
e
-
x
-
e
-
y
=
e
x
+
C
Hence
,
e
-
x
-
e
-
y
=
e
x
+
C
is
the
required
solution
.
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Similar questions
Q.
The general solution of the differential equation
d
y
d
x
=
e
x
+
y
, is
(a) e
x
+ e
−y
= C
(b) e
x
+ e
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= C
(c) e
−
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+ e
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= C
(d) e
−x
+ e
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Q.
If
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4
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If
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If
y
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Q.
Which of the following is/are a solution
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dy
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