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Mathematics
Mathematics
Problem
For each differential equation below, state the number of arbitrary constants expected in its general solution and briefly interpret the difference. (i)
d
y
d
x
=
3
y
\dfrac{dy}{dx}=3y
d
x
d
y
=
3
y
(ii)
d
2
y
d
x
2
+
y
=
0
\dfrac{d^{2}y}{dx^{2}}+y=0
d
x
2
d
2
y
+
y
=
0
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