Section 5.2 Problem 20: Solve the initial value problem and graph the solution.

(See attached graph)

Step-by-step explanation:

To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation where the values of are the roots:

Since the values of are equal real roots, then the general solution is .

Thus, the general solution for our given differential equation is .

To account for both initial conditions, take the derivative of , thus,

Now, we can create our system of equations given our initial conditions:

We then solve the system of equations, which becomes easy since we already know that :

Thus, our final solution is:

283 square feet

step-by-step explanation:

good luck

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.