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For x > 0, which function is the general solution of… | StemPy Lab
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For x > 0, which function is the general solution of dy/dx + y/x = 3?
Mathematics
Hard
High School (11–12)
Functions and Calculus › Differential Equations
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For
x
>
0
x > 0
x
>
0
, which function is the general solution of
d
y
d
x
+
y
x
=
3
\dfrac{dy}{dx} + \dfrac{y}{x} = 3
d
x
d
y
+
x
y
=
3
?
y
=
3
x
+
C
x
y = 3x + \dfrac{C}{x}
y
=
3
x
+
x
C
y
=
3
x
2
+
C
x
y = \dfrac{3x}{2} + Cx
y
=
2
3
x
+
C
x
y
=
3
x
2
+
C
y = \dfrac{3x}{2} + C
y
=
2
3
x
+
C
y
=
3
x
2
+
C
x
y = \dfrac{3x}{2} + \dfrac{C}{x}
y
=
2
3
x
+
x
C
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