Partial Differential Equations

Partial Differential Equations

University

15 Qs

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Partial Differential Equations

Partial Differential Equations

Assessment

Quiz

Mathematics

University

Practice Problem

Medium

Created by

SUGANYA RAMASAMY

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15 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A PDE consists of

only one independent variable

more than one independent variable

more than one dependent varible

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The highest derivative in the given pde is called

order

degree

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The degree of the following pde  (zx )2+2(2zxy)+(zy)2=0\left(\text{}\frac{\partial z}{\partial x}\ \right)^2+2\left(\frac{\partial^2z}{\partial x\partial y}\right)+\left(\frac{\partial z}{\partial y}\right)^2=0  is

2

0

1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The order of the following pde  (zxx)2+(zxyy)+(zyy)=sinz\left(z_{xx}\right)^2+\left(z_{xyy}\right)+\left(z_{yy}\right)=\sin z  is

1

2

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The expansion for s

2zy2\frac{\partial^2z}{\partial y^2}

2zx2\frac{\partial^2z}{\partial x^2}

2zxy\frac{\partial^2z}{\partial x\partial y^{ }}

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the number of arbitrary constants is less than or equal to number of independent variables then the pde obtained is of order

>1

=1

<1

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If the number of arbitrary function is n then the pde obtained is of order

<n

>n

=n

1

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