Question: Suppose we did not know that the equation y' = ky is a separable equation. Show that every solution of the equation y' = ky

Suppose we did not know that the equation y' = ky

Suppose we did not know that the equation y' = ky is a separable equation. Show that every solution of the equation y' = ky is of the form y = Aek~ where A, K ER. Hint: Consider the derivative of yet where y is any solution of the given equation

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