Differential Equations Quiz
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FIRST-ORDER DIFFERENTIAL EQUATIONS
Question 1
of 15
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Find the general solution for
x
(
y
)
x(y)
x
(
y
)
for the differential equation
d
x
d
y
+
1
y
x
=
y
2
\frac{dx}{dy} + \frac{1}{y}x = y^2
d
y
d
x
+
y
1
x
=
y
2
, assuming
y
>
0
y>0
y
>
0
.
A
x
(
y
)
=
y
3
2
+
C
y
x(y) = \frac{y^3}{2} + Cy
x
(
y
)
=
2
y
3
+
C
y
B
x
(
y
)
=
3
y
+
C
y
x(y) = 3y + \frac{C}{y}
x
(
y
)
=
3
y
+
y
C
C
y
(
x
)
=
x
3
4
+
C
x
y(x) = \frac{x^3}{4} + \frac{C}{x}
y
(
x
)
=
4
x
3
+
x
C
D
x
(
y
)
=
y
3
4
+
C
y
x(y) = \frac{y^3}{4} + \frac{C}{y}
x
(
y
)
=
4
y
3
+
y
C
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