Byju's Answer
Standard XII
Mathematics
Bernoulli's Equation
The solution ...
Question
The solution of a differential equation
y
′′
+
3
y
′
+
2
y
=
0
is of the form
A
c
1
e
x
+
c
2
e
2
x
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B
c
1
e
−
x
+
c
2
e
3
x
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C
c
1
e
−
x
+
c
2
e
−
2
x
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D
c
1
e
−
2
x
+
c
2
2
−
x
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Solution
The correct option is
C
c
1
e
−
x
+
c
2
e
−
2
x
Given DE is
y
′′
+
3
y
′
+
2
y
=
0
⇒
(
D
2
+
3
D
+
2
)
y
=
0
... (i)
A
E
is
m
2
+
3
m
+
2
=
0
⇒
m
=
−
1
and
−
2
General solution is
∴
y
=
c
1
e
−
x
+
c
2
e
−
2
x
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0
Similar questions
Q.
y
=
e
−
2
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is a solution of the differential equation
y
′′
+
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′
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=
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Q.
Number of values of
m
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y
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e
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is a solution of the differential equation
D
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y
−
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D
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Q.
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(
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)
d
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+
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−
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−
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)
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Prove that
y
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e
x
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e
2
x
is not g.s. of differential equation
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y
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y
=
0
Q.
Show that y = be
x
+ ce
2x
is a solution of the differential equation,
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y
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+
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y
=
0
.
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