- #1

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## Homework Statement

Verify by substitution that each given function is a solution of the given differential equation. Throughout these problems, primes denote derivatives with respect to x.

y'=3x

^{2}; y=x

^{3}+7

## Homework Equations

## The Attempt at a Solution

Well obviously I see that the derivative of y=x

^{3}+7 is just 3x

^{2}, but what does it mean by verifying by substitution?