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Engineering Mathematics
Homogeneous Linear Differential Equations (General Form of LDE)
y=e-2x is a s...
Question
y
=
e
−
2
x
is a solution of the differential equation
y
′′
+
y
′
−
2
y
=
0
A
True
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B
False
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Solution
The correct option is
A
True
y
′′
+
y
′
−
2
y
=
0
A
.
E
is
D
2
+
D
−
2
=
0
D
=
−
2
,
1
y
=
e
−
2
x
and
y
=
e
x
are
The solutions of the given diferential equation.
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1
Similar questions
Q.
Find the particular solution of the differential equation
2
y
e
x
y
d
x
+
(
y
−
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x
e
x
y
)
d
y
=
0
given that
x
=
0
when
y
=
1
.
Q.
The general solution of the differential equation
d
y
d
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y
=
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is
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Solution of the differential equation
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Q.
Let
y
(
x
)
be the solution of the differential equation
2
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d
y
+
(
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y
−
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)
d
x
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,
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>
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If
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