MATH 267 (Section E1) Homework No. 5
Reading
Sections 4.1 through 4.3
Suggested Problems
Section 4.1: Exercises 5, 6, 12, 13.
Section 4.2: Exercises 11, 15, 29, 31.
Section 4.3: Exercise 1, 5, 7.
Problems to be handed in in class on Monday, February 26-th
Problem 1 Consider the following functions
y1=t, y2=cos(t), y3= 1, y4=sin(t).
Show that they form a fundamental set of solutions of the differential equation
y(4) +y00 = 0
Problem 3 Calculate the solution of the following 3-rd order Boundary Value
Problem
y(3) −3y00 + 2y0= 0,
y(0) = 1, y0(0) = 0, y00 (0) = −1.
Problem 2 Consider the differential equation
y(4) −16y=et+sin(t).
Write the general solution using the method of undetermined coefficients.
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