1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Formation of a Differential Equation from a General Solution
The different...
Question
The differential equation of system of concentric circles with centres
(
1
,
2
)
is
A
d
y
d
x
=
x
−
1
x
−
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
d
y
d
x
=
x
−
1
2
−
x
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
d
y
d
x
=
x
−
1
2
−
y
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
d
y
d
x
=
x
−
1
y
−
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
d
y
d
x
=
x
−
1
2
−
y
General equation of concentric circles with centres
(
1
,
2
)
is
(
x
−
1
)
2
+
(
y
−
2
)
2
=
a
2
where
a
is radius of the concentric circles.
Differentiating it, we get
2
(
x
−
1
)
+
2
(
y
−
2
)
d
y
d
x
=
0
⇒
d
y
d
x
=
−
x
−
1
y
−
2
=
x
−
1
2
−
y
Hence, C is the correct option.
Suggest Corrections
0
Similar questions
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
Q.
Solution of differential equation
x
2
=
1
+
(
x
y
)
−
1
d
y
d
x
+
(
x
y
)
−
2
(
d
y
d
x
)
2
2
!
+
(
x
y
)
−
3
(
d
y
d
x
)
3
3
!
+
.
.
.
.
is
Q.
For each of the differential equations, find the general solution:
1.
d
y
d
x
+
2
y
=
sin
x
2.
d
y
d
x
+
3
y
=
e
−
2
x
3.
d
y
d
x
+
y
x
=
x
2
4.
d
y
d
x
+
(
sec
x
)
y
=
tan
x
...
(
0
≤
x
<
π
2
)
5.
cos
2
x
d
y
d
x
+
y
=
tan
x
...
(
0
≤
x
<
π
2
)
6.
x
d
y
d
x
+
2
y
=
x
2
log
x
7.
x
log
x
d
y
d
x
+
y
=
2
x
log
x
8.
(
1
+
x
2
)
d
y
+
2
x
y
d
x
=
cot
x
d
x
...
(
x
≠
0
)
9.
x
d
y
d
x
+
y
−
x
+
x
y
cot
x
=
0
...
(
x
≠
0
)
10.
(
x
+
y
)
d
x
d
y
=
1
11.
y
d
x
+
(
x
−
y
2
)
d
y
=
0
12.
(
x
+
3
y
2
)
d
y
d
x
=
y
...
(
y
>
0
)
Q.
The degree of the differential equation
x
=
1
+
(
d
y
d
x
)
+
1
2
!
(
d
y
d
x
)
2
+
1
3
!
(
d
y
d
x
)
3
+
…
Q.
y
−
x
d
y
d
x
=
b
(
1
+
x
2
d
y
d
x
)
.
Solve the above differential equation.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Formation of Differential Equation
MATHEMATICS
Watch in App
Explore more
Formation of a Differential Equation from a General Solution
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app