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Mathematics
Mathematics
Problem
The differential equation of all parabolas whose axes are parallel to y-axis is (a)
d
3
y
d
x
3
=
0
\frac{d^3 y}{dx^3} = 0
d
x
3
d
3
y
=
0
(b)
d
2
x
d
y
2
=
C
\frac{d^2 x}{dy^2} = C
d
y
2
d
2
x
=
C
(c)
d
3
y
d
x
3
+
d
2
x
d
y
2
=
0
\frac{d^3 y}{dx^3} + \frac{d^2 x}{dy^2} = 0
d
x
3
d
3
y
+
d
y
2
d
2
x
=
0
(d)
d
2
y
d
x
2
+
2
d
y
d
x
=
C
\frac{d^2 y}{dx^2} + 2\frac{dy}{dx} = C
d
x
2
d
2
y
+
2
d
x
d
y
=
C
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