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Mathematics
Problem
Which differential equation has the family of solutions
y
=
arcsin
x
+
C
y=\arcsin x + C
y
=
arcsin
x
+
C
, where
C
C
C
is a constant? a)
−
1
1
−
x
2
-\dfrac{1}{\sqrt{1-x^{2}}}
−
1
−
x
2
1
b)
1
1
+
x
2
\dfrac{1}{1+x^{2}}
1
+
x
2
1
c)
1
1
−
x
2
\dfrac{1}{\sqrt{1-x^{2}}}
1
−
x
2
1
d)
1
1
−
x
2
\dfrac{1}{1-x^{2}}
1
−
x
2
1
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