MATH 3321 Exam 1| Questions & Verified Answers | 2026/2027 Updated | University of Houston -PDF

MATH 3321 Exam 1| Questions & Verified Answers | 2026/2027 Updated |
University of Houston -PDF
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Question number 1


Your answer was B. Correct.


Give the differential equation that has y = C1 + C2x2 + x as its general solution.


A xy ′′ + y′ = 1


B xy ′′ − y′ = −1


C xy ′′ − y′ = 3


D xy ′′ + 3y′ = −1


E xy ′ − y = −1


F None of the above.




Question number 2.




Your answer was B. Correct.


Find the general solution of (x2y + 5y)y′ = 2xy2 + 8x.



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, A y2 + 4 = (x2 + 5)2 + C


B y2 = C (x2 + 5)2 − 4


C y2 + 4 = (x2 + 5) + C


D y2 = C(x2 + 5) − 4


E y2 = (x2 + 5)2 + C


F None of the above.




Question number 3.




Your answer was D. Correct.


2 ′
Find the general solution of x y = 4x3 cos(2x) + xy.


A y = 2x sin(2x) + C


B y = −2x sin(2x) + Cx




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, 1
C y=− sin(2x) + Cx−1
2x


D y = 2x sin(2x) + Cx


E y = 4x sin(2x) + Cx


F None of the above.




Question number 4.




Your answer was B. Correct.


Find a fundamental set of solutions of y′′ + 6y′ + 10y = 0.


A {e−3x , ex}


B {e−3x cos(x), e−3x sin(x)}


C {e−3x , e−x }


D {e3x cos(x), e3x sin(x)}


E {ex cos(3x), ex sin(3x)}



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