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Byju's Answer
Standard XII
Mathematics
Solving Linear Differential Equations of First Order
dy/dx-y x= co...
Question
d
y
d
x
−
y
cot
x
=
c
o
sec
x
.
, its solution is
y
c
o
sec
x
=
cot
x
+
c
.
If true enter 1 else 0
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Solution
d
y
d
x
−
y
cot
x
=
c
o
sec
x
.
IF
=
e
∫
−
cot
x
d
x
=
e
−
log
sin
x
=
e
log
c
o
sec
x
=
c
o
sec
x
Hence solution is,
y
c
o
sec
x
=
∫
c
o
sec
2
x
d
x
+
c
.
=
−
cot
x
+
c
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0
Similar questions
Q.
d
y
d
x
+
y
cot
x
=
y
2
sin
2
x
cos
2
x
.
Its solution is
1
y
c
o
sec
x
=
1
3
cos
3
x
+
c
If true enter 1 else enter 0.
Q.
Given
d
y
d
x
+
y
x
=
y
2
.
Solution is
k
x
=
e
1
/
x
y
If true enter 1 else enter 0
Q.
y
=
(
cos
x
)
log
x
+
(
log
x
)
x
, then
d
y
d
x
=
(
cos
x
)
log
x
[
log
x
(
−
tan
x
)
+
1
x
log
cos
x
]
+
(
log
x
)
x
[
1
log
x
+
log
(
log
x
)
]
, if true enter 1 else enter 0.
Q.
If true enter
1
, else enter
0
.
A decinormal solution is
1
10
N
.
Q.
∫
[
1
log
x
−
1
(
log
x
)
2
]
d
x
=
x
(
log
x
)
−
1
.
If this is true enter 1, else enter 0.
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