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Verify that the given functions (explici...

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation :
`y=Ax` : `xy'=y(x ne 0)`

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To verify that the function \( y = Ax \) is a solution of the differential equation \( xy' = y \) (where \( x \neq 0 \)), we will follow these steps: ### Step 1: Differentiate the function We start with the function: \[ y = Ax \] We need to find the derivative of \( y \) with respect to \( x \): ...
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