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Byju's Answer
Standard XII
Mathematics
Particular Solution of a Differential Equation
The different...
Question
The differential equation
y
d
y
d
x
+
x
=
c
represents.
A
A family of hyperbolas
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B
A family of circles whose centres are on the y-axis
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C
A family of parabolas
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D
A family of circles whose centres are on the x-axis
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Solution
The correct option is
B
A family of circles whose centres are on the x-axis
y
d
y
=
(
c
−
x
)
d
x
∫
y
d
y
=
∫
(
c
−
x
)
d
x
y
2
2
=
c
x
−
x
2
2
+
k
x
2
2
+
y
2
2
−
c
x
=
k
x
2
+
y
2
−
2
c
x
=
2
k
(
x
−
c
)
2
+
y
2
=
2
k
+
c
2
This is equation of a circle with center on x-axis.
(d)
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Particular Solution of a Differential Equation
Standard XII Mathematics
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