While solving a differential equation, MATLAB will show us the ___________

The figure shows the plot of y as a function of x
Differential Equations mcq question image

The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is

A

$$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} = 1$$

B

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = {\text{x}}$$

C

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = - {\text{x}}$$

D

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = \left| {\text{x}} \right|$$

Singular solution of a differential equation is one that cannot be obtained from the general solution gotten by the usual method of solving the differential equation.

A

True

B

False

The average weight of 20 contestants in a fashion show increased by 5.75 kg when one of the contestants left the show but when a new contestant joined the show then the average weight decreased by 2.75 kg. What is the difference between the weight of the new contestant who joined the show and the contestant who left the show?

A

55.5 kg

B

49.75 kg

C

51.5 kg

D

Cannot be determined

E

None of the above

Which of the following commands will display the current IP addressing and the layer 1 and 2 status of an interface?
1. show version
2. show protocols
3. show interfaces
4. show controllers
5. show ip interface

A

1, 2 and 4

B

2, 3 and 5

C

3 and 4 only

D

None of the above

While solving an Ordinary Differential Equation using the unilateral Laplace Transform, it is possible to solve if there is no function in the right hand side of the equation in standard form and if the initial conditions are zero.

A

True

B

False

A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1⁄2 and B not solving it is 1⁄4. The whole probability of the problem being solved is 63⁄64 then what is the probability of solving it?

A

1⁄2

B

7⁄8

C

1⁄64

D

1⁄8

A class III mathematics teacher gave the following questions to her students: $\begin{equation} \frac{ \begin{array}[b]{r} 256 \\ + 173 \end{array} }{ } \end{equation}$ $\begin{equation} \frac{ \begin{array}[b]{r} 28 \\ + 32 \end{array} }{ } \end{equation}$ $\begin{equation} \frac{ \begin{array}[b]{r} 129 \\ + 76 \end{array} }{ } \end{equation}$ Later she asks the students to solve a worksheet that has similar questions. Which of the following statements is appropriate for the given situation?

A

It is an example of contextual question

B

It is an example of open ended task

C

Teacher should have asked the students to solve ten more such questions as a home task to save the time

D

The tasks is based on drill and practice and should be discouraged at primary level

Consider the following statements pertaining to the open die forging of a cylindrical specimen between two flat dies: 1. Lubricated specimens show more surface movement than unlubricated ones. 2. Lubricated specimens show less surface movement than unlubricated ones. 3. Lubricated specimens show more barrelling than unlubricated ones. 4. Lubricated specimens show less barrelling than unlubricated ones. Which of these statements are correct?

A

1 and 3

B

1 and 4

C

2 and 3

D

2 and 4

While solving the ordinary differential equation using unilateral laplace transform, we consider the initial conditions of the system.

A

True

B

False

While solving a partial differential equation using a variable separable method, we assume that the function can be written as the product of two functions which depend on one variable only.

A

True

B

False

While solving a differential equation, MATLAB will show us the ___________

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