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Standard XII
Mathematics
Question
y
=
e
−
3
x
.
P
r
o
v
e
:
d
2
y
d
x
2
+
d
y
d
x
−
6
y
=
0
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Solution
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Similar Questions
Q1
Verify that the function
y
=
e
−
3
x
is a solution of the differential equation
d
2
y
d
x
2
+
d
y
d
x
−
6
y
=
0
.
View Solution
Q2
The solution to the ordinary differential equation
d
2
y
d
x
2
+
d
y
d
x
−
6
y
=
0
is
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Q3
If
y
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e
2
x
+
2
e
3
x
,
prove that
d
2
y
d
x
2
−
5
d
y
d
x
+
6
y
=
0
View Solution
Q4
If
y
=
3
e
2
x
+
2
e
3
x
.
prove that
d
2
y
d
x
2
−
5
d
y
d
x
+
6
y
=
0
.
View Solution
Q5
If y= a sin 3x + b cos 3x, prove that (d2y/dx2) + 4(dy/dx) + 3y= 10 cos 3x
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