Chapter 9, Problem 3CRQ

a.

To determine

To fill: The blank in the statement “The order of a differential equation is the order of the _____ derivative of the ____ function in the equation” with the appropriate answer.

b.

To determine

To fill: The blank in the statement “A separable differential equation has the form $\frac{dy}{dx}=\underset{\_}{}$; the equation $y^{\prime }=\frac{xy}{x^2+y^2}$ is _________ the equation $\frac{dy}{dx}=\frac{e^y}{1+x^2}$ is _____” with the appropriate answer.