
Differential Equations and Integrals
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard
Thomas White
FREE Resource
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16 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem introduced in the video?
To solve a linear equation
To find the extremal of a functional
To integrate a polynomial
To differentiate a trigonometric function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equation is used to solve the problem involving the function f(X, Y, y')?
Pythagorean theorem
Newton's law
Euler's equation
Lagrange's theorem
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the term 'e^X' in the problem?
It is part of the function f(X, Y, y')
It is a constant
It is the solution to the differential equation
It is the initial condition
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is treated as a constant during the differentiation of the function with respect to Y?
Y'
e^X
X
Y
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the term 'dou F by dou Y' represent?
Total derivative of F with respect to X
Total derivative of F with respect to Y
Partial derivative of F with respect to Y
Partial derivative of F with respect to X
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of differentiating the function with respect to Y'?
It results in a constant
It results in a logarithmic function
It results in a polynomial
It results in a trigonometric function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of differential equation is derived in the video?
Integral equation
Second-order differential equation
First-order differential equation
Partial differential equation
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