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Homework (Math 302)

Elementary Differential Equations and Boundary Value Problems, by Boyce, DiPrima & Meade (11th Edition, Wiley)

Note: Detail your work to receive full credit. Simply giving the final answer does not count. Simplify the final answer whenever possible.

Homework#1: (due Wed Sep 22), no plots required

● Sec. 1.3: 5, 8, 19

● Sec. 2.1: 6(c), 10, 11

    additional problems: solve

    (P1)

    (P2)

● Sec. 2.2: 5, 13(a)

    additional problems: solve

    (P3)

    (P4)

● Sec. 2.3: 13(a), 14(a)

Homework#2: (due Wed Oct 6)

● Sec. 2.4: 2, 3, 6 (provide justification for all three)

● Sec. 2.6: 3, 6, 7, 8

    additional problem:

    (P1) Show that the given equation is not exact but becomes exact when multiplied by the given integrating factor µ. Then solve the equation.

● Sec. 3.1: 17, 18

    additional problems: find the solution of the given initial value problem

    (P2)

    (P3)

● Sec. 3.2: 7, 19, 21 (use the Wronskian test for the last two)

    additional problem: Calculate the Wronskian of the following two functions and determine whether they are linearly independent.

    (P4)

Homework#3: (due Wed Oct 20)

● Sec. 3.3: 6, 13 (no graph), 25, 31

● Sec. 3.4: 2, 11 (no graph), 15, 16

● Sec. 3.5: 14, 15

    additional problems: find the general solution of the given differential equation

    (P1)

    (P2)

    Hint: decompose cosh into exponentials.