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Byju's Answer
Standard XII
Mathematics
Ordinary Differential Equations
49.The soluti...
Question
49.The solutions of p+cos(px)sin(y)= sin(px)cos(y) ( where p= dy/dx) Options a)y=0 b) cx-y=arcsin(x) c)cx-y= arcsin(c) d)y=(x-1 )-arcsin((x-1)/x)
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Similar questions
Q.
The solutions of
p
+
cos
p
x
sin
y
=
sin
p
x
cos
y
P
=
(
d
y
d
x
)
is:
Q.
The solutions of
y
=
x
[
d
y
d
x
]
+
[
d
y
d
x
]
3
are given by (where p = dy/dx and k is constant)
Q.
Verify
y
=
c
x
+
1
x
is a solution of the differential equations
y
d
y
d
x
=
x
(
d
y
d
x
)
2
+
1
, where c is arbitrary constant.
Q.
The solution of
(
x
+
l
o
g
y
)
d
y
+
y
d
x
=
0
where
y
(
0
)
=
1
is
Q.
For each of the differential equations, find the general solution:
1.
d
y
d
x
=
1
−
cos
x
1
+
cos
x
2.
d
y
d
x
=
√
4
−
y
2
(
−
2
<
y
<
2
)
3.
d
y
d
x
=
1
(
y
≠
1
)
4.
sec
2
x
tan
y
d
x
+
sec
2
y
tan
x
d
y
=
0
5.
(
e
x
+
e
−
x
)
d
y
−
(
e
x
−
e
−
x
)
d
x
=
0
6.
d
y
d
x
=
(
1
+
x
2
)
(
1
+
y
2
)
7.
y
log
y
d
x
−
x
d
y
=
0
8.
x
4
d
y
d
x
=
−
y
5
9.
d
y
d
x
=
sin
−
1
x
10.
e
x
tan
y
d
x
+
(
1
−
e
x
)
sec
2
y
d
y
=
0
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