The differential equation $y ^ { \prime } = x e ^ { y } / y$ is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli

Name: The differential equation $y ^ { \prime } = x e ^ { y } / y$ is A) linear B) homogeneous C) separable D) exact E) Bernoulli
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The given differential equation can be rearranged to show that it is separable, meaning it can be written in the form $f(y)dy = g(x)dx$, allowing the variables to be separated on different sides of the equation.

The Differential Equation y′=xey/yy ^ { \prime } = x e ^ { y } / yy′=xey/y

The Differential Equation $y ^ { \prime } = x e ^ { y } / y$