Differential Equations
Differential equations can be defined as mathematical equations that relate functions with their derivatives, where functions can represent physical quantities, the derivative rates of change, and the equation a relationship between the two. Take your chance with our small quiz and see how much you know about these types of equations.
- 1.
What happens when a self-contained formula for a given solution is not available?
- A.
The solution may never be found
- B.
The solution may be numerically approximated using computers
- C.
The solution =1
- D.
The solution=x
Correct Answer
B. The solution may be numerically approximated using computers -
- 2.
Where is the emphasis of dynamical systems put on?
- A.
On qualitative analysis of systems
- B.
On quantitative analysis systems
- C.
On qualitative systems
- D.
On functional systems
Correct Answer
A. On qualitative analysis of systems -
- 3.
What's the name of the book where different kinds of differential equations demonstrated?
- A.
Fluxionum et Serierum Infinitarum
- B.
Methods fluxionum et serierum infinitarum
- C.
Methodus fluxionum et Serierum Infinitarum
- D.
Serierum Infinitarum
Correct Answer
C. Methodus fluxionum et Serierum Infinitarum -
- 4.
How is the first type of differential equation be written?
- A.
Dy=f(x)
- B.
Dy/dx= f(x)
- C.
Dy/2= f(x)
- D.
Dy/fx= g(x)
Correct Answer
B. Dy/dx= f(x) -
- 5.
How is the second kind of differential equation be written?
- A.
Dy/dx=f(x,y)
- B.
Dy=f(x)
- C.
Dy = f(x,y)
- D.
Dy/dx=f(y)
Correct Answer
A. Dy/dx=f(x,y) -
- 6.
In what year was the Bernoulli differential equation introduced?
- A.
1965
- B.
1800
- C.
1865
- D.
1900
Correct Answer
A. 1965 -
- 7.
What is the formula for the Bernoulli differential equation?
- A.
P(x)y= Q(x)^n
- B.
Y'+P(x)y= Q(x)
- C.
Y+p(x)= q(x)
- D.
Y'+P(x)y= Q(x)^n
Correct Answer
D. Y'+P(x)y= Q(x)^n -
- 8.
In what year was the Euler -Lagrange equation developed?
- A.
In 1950
- B.
In 1920
- C.
In 1850
- D.
In 1750
Correct Answer
D. In 1750 -
- 9.
What is an ODE?
- A.
It's an overall differential equation
- B.
It's an ordinary differential equation
- C.
It's an ordinary division
- D.
It's a differential equation
Correct Answer
B. It's an ordinary differential equation -
- 10.
Who is credited with developing differential equations?
- A.
Marco polo
- B.
Leonardo Davinci
- C.
Isaac Newton
- D.
Jean Pascal
Correct Answer
C. Isaac Newton -
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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
-
Jan 16, 2018Quiz Edited by
ProProfs Editorial Team -
Jan 08, 2018Quiz Created by
Anouchka
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