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Mathematics
Mathematics
Problem
Which of the following differential equations is separable? a)
d
y
d
x
=
x
+
y
\displaystyle \frac{dy}{dx}=x+y
d
x
d
y
=
x
+
y
b)
d
y
d
x
=
y
x
+
y
\displaystyle \frac{dy}{dx}=\dfrac{y}{x+y}
d
x
d
y
=
x
+
y
y
c)
d
y
d
x
=
x
e
y
2
\displaystyle \frac{dy}{dx}=x\,e^{y^{2}}
d
x
d
y
=
x
e
y
2
d)
d
y
d
x
=
x
2
+
e
y
\displaystyle \frac{dy}{dx}=x^{2}+e^{y}
d
x
d
y
=
x
2
+
e
y
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