Preview (10 questions)
1 Question
30 seconds
Q.

Who is the father of the ordinary differential equation?


Isaac Newton

Charles Darwin

Nikola Tesla

Louis Pasteur

2 Question
30 seconds
Q.

Which type of differential equation progression is random?


Partial differential equations

Stochastic differential equations

First-order differential equations

Second order differential equations

3 Question
30 seconds
Q.

What is Leibniz's notation for differential equations?


γx and γy

αx and αy

dx and dy

εx and εy

4 Question
30 seconds
Q.

Which notation is used in physics to represent derivatives of low order with respect to time?


Lagrange's notation

Linear combination

Leibniz's notation

Newton's notation

5 Question
30 seconds
Q.

Define explicit ordinary differential equation of order n.


F(x, y, y', …., y-n-1) = yn^n-1

F(1, 2, 3, …., nn-1) = y-n

F(x, y, y', …., yn-1) = yn

F(0, 1, 2, …., nn-1) = yn


6 Question
30 seconds
Q.

Say Yes or No.


If r(x) ≠ 0 then the linear differential equation is nonhomogeneous.


Yes

No

7 Question
30 seconds
Q.

What is the best software for solving differential equations?


SymPy

Maple

Chebfun

SageMath

8 Question
30 seconds
Q.

What is the use of Scilab software in solving ordinary differential equations?


Calculate intermediate numerical steps in the solutions

Calculate intermediate homogeneous equation

Calculate intermediate non-homogeneous equation

Calculate intermediate first-order separable equation

9 Question
30 seconds
Q.

What is the formula for integrating factors for the first-order differential equation?


I = e∫ P^n-1 dx

I = -e∫ P dx

I = e∫ P dx

I = e∫ P^-1 dx

10 Question
30 seconds
Q.

How many methods to solve first-order differential equations?


Seven

Five

Four

Two