Unit 7: Differential Equations

Find the particular solution to [math] given that [math].

Solve the separable differential equation [math] with [math].

A population [math] grows according to [math]. If [math], what is [math]? Round to the nearest whole number.

A slope field for a differential equation shows horizontal segments along the line [math]. Which equation could produce this slope field?

Solve [math] with [math]. Find [math].

Euler's method with step size [math] is used to approximate [math] for [math] with [math]. What is the approximation at [math]?

Which of the following differential equations has the logistic growth form?

Using Euler's method with [math] and [math], [math], approximate [math].

The general solution of [math] for [math] is:

If [math] and [math], then [math] =

Which of the following is the solution to [math] with [math]?

If [math] and [math], what is [math]?

A slope field for a differential equation is shown. Which could be the equation?

Using Euler's method with step size [math] and [math], starting at [math], approximate [math].

The population [math] of a town satisfies [math] with [math]. What is the population when [math]?

Consider the differential equation [math]. Which of the following is the slope field behavior along the line [math]?