
Understanding Linear First Order Differential Equations
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial condition given in the problem?
y(2) = -1
y(-2) = -1
y(2) = 1
y(-2) = 1
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for P(T) and F(T) to ensure a unique solution exists?
They must be equal.
They must be continuous on an open interval.
They must be continuous on a closed interval.
They must be differentiable.
Tags
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in rewriting the differential equation?
Divide by T-1
Multiply by T-1
Add T-1
Subtract T-1
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is P(T) in the rewritten differential equation?
6t / (T-1)
ln(T+3) / (T+1)
ln(T+3) / (T-1)
6t / (T+3)
Tags
CCSS.HSF.LE.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What condition must be met for the natural log input in P(T)?
T must be less than -3
T must be less than 3
T must be greater than -3
T must be equal to -3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the interval where P(T) is continuous?
(-3, ∞)
(-∞, 3)
(-∞, 1) U (1, ∞)
(-3, 1) U (1, ∞)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the only restriction on F(T)?
T cannot be 3
T cannot be 1
T cannot be 0
T cannot be -3
Tags
CCSS.HSA.REI.A.2
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