MATH 3321 EXAM 2 | QUESTIONS AND ANSWERS | 2026 UPDATE
| 100% CORRECT – UH.
wait=-3278607, due=1698555540, due2=0 Question number 1.
Your answer was C. Correct.
Give the form of a particular solution of y′′ − 6y′ + 8y = −3e2x − 5xe−4x + 3x.
A z = Axe2x + (Bx + C)e−4x + D
B z = Ae2x + (Bx2 + Cx)e−4x + Dx + E
C z = Axe2x + (Bx + C)e−4x + Dx + E
D z = Axe2x + (Bx2 + Cx)e−4x + Dx + E
E z = Ae2x + (Bx + C)e−4x + Dx
F None of the above.
Question number 2.
Your answer was D. Wrong.
The linear, homogeneous differential equation of least order that has
y = 5e4x − 4 cos(3x) + 3 sin(3x) + 5 as a solution is:
A y(4) + 4y′′′ − 9y′′ + 36y′ = 0
B y(5) − 4y(4) + 9y′′′ − 36y′′ = 0
https://www.stuvia.com/user/mboffin 1/8
, C y′′′ − 4y′′ + 9y′ − 12y = 0
https://www.stuvia.com/user/mboffin 2/8
| 100% CORRECT – UH.
wait=-3278607, due=1698555540, due2=0 Question number 1.
Your answer was C. Correct.
Give the form of a particular solution of y′′ − 6y′ + 8y = −3e2x − 5xe−4x + 3x.
A z = Axe2x + (Bx + C)e−4x + D
B z = Ae2x + (Bx2 + Cx)e−4x + Dx + E
C z = Axe2x + (Bx + C)e−4x + Dx + E
D z = Axe2x + (Bx2 + Cx)e−4x + Dx + E
E z = Ae2x + (Bx + C)e−4x + Dx
F None of the above.
Question number 2.
Your answer was D. Wrong.
The linear, homogeneous differential equation of least order that has
y = 5e4x − 4 cos(3x) + 3 sin(3x) + 5 as a solution is:
A y(4) + 4y′′′ − 9y′′ + 36y′ = 0
B y(5) − 4y(4) + 9y′′′ − 36y′′ = 0
https://www.stuvia.com/user/mboffin 1/8
, C y′′′ − 4y′′ + 9y′ − 12y = 0
https://www.stuvia.com/user/mboffin 2/8
