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Mathematics
Problem
A general implicit solution of a differential equation is
ln
∣
y
∣
=
x
−
x
2
2
+
C
\ln|y|=x-\dfrac{x^{2}}{2}+C
ln
∣
y
∣
=
x
−
2
x
2
+
C
. Given that the particular solution satisfies
y
(
0
)
=
−
1
y(0)=-1
y
(
0
)
=
−
1
, determine the value of the constant
C
C
C
.
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