MATH 240 Midterm: MATH 240 KSU Test 1s14

MATH 1830 Exam 3B (Must show ALL twork) Name 1. [16 An apartment complex has 100 two-bedroom units the monthly profit (in dollars) realized from renting out z apartments is given by P(z)-10z2+1760- 50,000. To maximize the montly rental profit, how many units should be rested out? What is the maximum monthly profit realizable? 2. [16) Find the derivative 3. [16] Solve the initial-value problem f(c)-d,-2. /0-3.

Math 222: Diff. Eqns. Common Exam 3 November 29, 2017 4. (15 points) Use the Laplace transform to solve the following initial value problem. "+4y-26(t 5) Sus(t), y(0) = 0, y'(0) = 4.

Math 222: Diff. Eqns. Common Exam 3 November 29, 2017 2. (15 points) Solve the initial-value problem for the Euler differential equation: x2y"(z) + 3ry'(x) + 2y(x) = 0, y(1) = 1, y(2)-1, and describe the behavior of solutions as z→0+.