
Solving Linear Second Order Homogeneous Differential Equations
Authored by Azima Sahari
Mathematics
12th Grade

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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of differential equations are discussed in the text?
First-order linear differential equations
Second-order linear differential equations
Non-linear differential equations
Partial differential equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coefficients in the quadratic equation used to solve homogeneous second-order linear differential equations?
r, s, t
m, n, p
x, y, z
a, b, c
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the solutions when the roots of the quadratic equation are distinct?
e^r1x, e^r2x
r1, r2
r1x, r2x
r1e^x, r2e^x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution form when the roots of the quadratic equation are repeated?
C1e^r1x, C2e^r2x
C1e^rx, C2e^rx
C1e^r1x, C2xe^r2x
C1e^r1x, C2e^rx
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution form when the roots of the quadratic equation are complex?
C1e^(r1x)sin(r2x), C2e^(r1x)cos(r2x)
C1e^(r1x), C2e^(r2x)
C1e^(r1x)cos(r2x), C2e^(r1x)sin(r2x)
C1cos(x), C2sin(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution to the equation y double prime + y prime - 6y = 0?
C1e^(3x) + C2e^(-2x)
C1e^(-3x) + C2e^(2x)
C1e^(2x) + C2e^(-3x)
C1e^(-2x) + C2e^(3x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution to the equation y double prime - 8y prime + 16y = 0?
C1e^(4x) + C2xe^(4x)
C1e^(4x) + C2e^(4x)
C1e^(-4x) + C2e^(-4x)
C1e^(4x) + C2e^(-4x)
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