
Differential Equations and Logarithms

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

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the given differential equation?
Homogeneous
Exact
Linear
Non-linear
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for a differential equation to be exact?
M and N are constants
M equals N
Partial of M with respect to y equals partial of N with respect to x
Partial of M with respect to x equals partial of N with respect to y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the functions M and N in the rewritten differential form?
M = x, N = y
M = e^x, N = e^y
M = e^y, N = e^x
M = y, N = x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating e^x with respect to x?
ln(x) + C
x^2 + C
e^x + C
e^x + a(y)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function a(y) determined to be?
e^x
e^y
ln(y)
x + y
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general solution of the differential equation?
x + y = C
ln(x) + ln(y) = C
e^x + e^y = 0
e^x + e^y = C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve for y in the general solution?
Multiply both sides by e^x
Add e^x to both sides
Subtract e^x from both sides
Subtract e^y from both sides
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