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Byju's Answer
Standard XII
Mathematics
Formation of a Differential Equation from a General Solution
Let yx be the...
Question
Let y(x) be the general solution of
x
(
x
–
1
)
d
y
d
x
–
y
=
x
2
(
x
–
1
)
2
. Then
4
y
(
2
)
–
y
(
–
1
)
equals
___
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Solution
I.F. =
x
x
−
1
Solution is
x
y
x
−
1
=
x
3
3
−
x
2
2
+
C
and the answer is 3.
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Similar questions
Q.
Solve the differential equation:
x
(
x
−
1
)
d
y
d
x
−
y
=
x
2
(
x
−
1
)
2
Q.
If
y
=
y
(
x
)
and
2
+
sin
x
y
+
1
(
d
y
d
x
)
=
−
cos
x
,
y
(
0
)
=
1
, then
y
(
π
2
)
equals:
Q.
If
y
=
y
(
x
)
is the solution of the differential equation
(
2
+
sin
x
y
+
1
)
d
y
d
x
+
cos
x
=
0
with
y
(
0
)
=
1
, then
y
(
π
2
)
__.
Q.
Let
y
(
x
)
be the solution of the differential equation
(
x
log
x
)
d
y
d
x
+
y
=
2
x
log
x
,
(
x
⩾
1
)
. Then
y
(
e
)
is equal to :
Q.
Let
y
(
x
)
be the solution of the differential equation
(
x
l
o
g
x
)
d
y
d
x
+
y
=
2
x
l
o
g
x
,
(
x
≥
1
)
. Then
y
(
e
)
is equal to.
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Formation of a Differential Equation from a General Solution
Standard XII Mathematics
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