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Which of these equations is a homogeneous differential… | StemPy Lab
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Which of these equations is a homogeneous differential equation?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Differential Equations
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Which of these equations is a homogeneous differential equation?
d
y
d
x
=
2
x
2
−
y
2
x
y
\dfrac{dy}{dx} = \dfrac{2x^2 - y^2}{xy}
d
x
d
y
=
x
y
2
x
2
−
y
2
d
y
d
x
=
y
2
+
x
y
\dfrac{dy}{dx} = \dfrac{y^2 + x}{y}
d
x
d
y
=
y
y
2
+
x
d
y
d
x
=
x
2
+
y
x
\dfrac{dy}{dx} = \dfrac{x^2 + y}{x}
d
x
d
y
=
x
x
2
+
y
d
y
d
x
=
x
+
y
+
1
x
−
y
\dfrac{dy}{dx} = \dfrac{x + y + 1}{x - y}
d
x
d
y
=
x
−
y
x
+
y
+
1
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← A student solves dy/dx = y(y - 2) by dividing by y(y - 2) and integrating both sides. Which solutions does this method fail to find?
The substitution y = vx is used on dy/dx = (x + 2y)/x. Which equation in v and x does it give? →
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