Chapter 1.1, Problem 1TFR

True-False review

For items (a)-(n), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.

(a) A differential equation for a function $y=f(x)$ must contain the first derivative $y^{\text{'}}=f^{\text{'}}(x)$.