The differential equation $x y ^ { \prime } = 2 y + \sin x$ is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli

Name: The differential equation $x y ^ { \prime } = 2 y + \sin x$ is A) linear B) homogeneous C) separable D) exact E) Bernoulli
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Question

Quizplus · Accepted Answer

The given differential equation can be rewritten as $y' - \frac{2}{x}y = \frac{\sin x}{x}$, which is in the standard form of a first-order linear differential equation.

The Differential Equation xy′=2y+sin⁡xx y ^ { \prime } = 2 y + \sin xxy′=2y+sinx

The Differential Equation $x y ^ { \prime } = 2 y + \sin x$