The differential equation $2 x y d x + \left( x ^ { 2 } + y ^ { 3 } \right) d y = 0$ is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli

Name: The differential equation $2 x y d x + \left( x ^ { 2 } + y ^ { 3 } \right) d y = 0$ is A) linear B) homogeneous C) separable D) exact E) Bernoulli
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Question

Quizplus · Accepted Answer

The equation is exact because $ \frac { \partial } { \partial y } \left( 2 x y \right) = \frac { \partial } { \partial x } \left( x ^ { 2 } + y ^ { 3 } \right) $.

The Differential Equation 2xydx+(x2+y3)dy=02 x y d x + \left( x ^ { 2 } + y ^ { 3 } \right) d y = 02xydx+(x2+y3)dy=0

The Differential Equation $2 x y d x + \left( x ^ { 2 } + y ^ { 3 } \right) d y = 0$