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Identify the general solution to the differential equation .
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Identify the general solution to the differential equation
d
y
d
x
=
6
x
\frac{dy}{dx}=6x
d
x
d
y
=
6
x
. (a)
y
=
6
x
+
C
y=6x+C
y
=
6
x
+
C
(b)
y
=
3
x
2
+
C
y=3x^2+C
y
=
3
x
2
+
C
(c)
y
=
3
x
2
y=3x^2
y
=
3
x
2
(d)
y
=
6
x
2
+
C
y=6x^2+C
y
=
6
x
2
+
C
Related theory
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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