Is $y = e ^ { x } \sin x$ a solution to $\frac { d ^ { 2 } y } { d x ^ { 2 } } - \frac { d y } { d x } + y = 0$ ?

Name: Is $y = e ^ { x } \sin x$ a solution to $\frac { d ^ { 2 } y } { d x ^ { 2 } } - \frac { d y } { d x } + y = 0$ ?
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Question

Quizplus · Accepted Answer

To verify if $y = e^x \sin x$ is a solution, we need to compute the first and second derivatives and substitute them into the differential equation. The resulting expression does not satisfy the equation, hence it is not a solution.

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Is $y = e ^ { x } \sin x$ A Solution To