What is the general form of the solution for the given differential equation?

Solving Systems and Differential Equations

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
y(T) = A * e^4T + B * e^6T
y(T) = A * e^T + B * e^2T
y(T) = A * e^2T + B * e^3T
y(T) = A * e^5T + B * e^7T
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first equation derived from the initial condition y(0) = 2?
A + B = 0
A + B = 2
A - B = 0
A - B = 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the general solution with respect to T?
y'(T) = A * e^T + B * e^2T
y'(T) = 5A * e^5T + 7B * e^7T
y'(T) = 2A * e^2T + 3B * e^3T
y'(T) = 4A * e^4T + 6B * e^6T
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second equation derived from the initial condition y'(0) = 5?
2A + 3B = 5
5A + 7B = 5
A + B = 5
4A + 6B = 5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method is used to solve the system of equations for A and B?
Substitution
Elimination
Graphical
Matrix Inversion
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of B after solving the system of equations?
3
-3
0
2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of A after solving the system of equations?
5
4
7
2
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