Ordinary differential equations

Ordinary differential equations

Professional Development

10 Qs

quiz-placeholder

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Ordinary differential equations

Ordinary differential equations

Assessment

Quiz

Mathematics

Professional Development

Practice Problem

Medium

CCSS
HSA-REI.B.4B

Standards-aligned

Created by

Saravanan R

Used 17+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A differential equation in which the function depends on only one independent variable is called a ................

partial differential equation

linear equation

ordinary differential equation

non linear equation

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A differential equation in which the function depends on more than one independent variabls is called a ................

partial differential equation

linear equation

ordinary differential equation

non linear equation

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The general solution of the ODE contains .........

complementary function only

particular integral only

both complementary function and particular integral

neither complementary function nor particular integral

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The complementary function is the solution of .........

homogeneous ordinary differential equation

linear equation

non linear equation

partial differential equation

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 The auxiliary equation of the following ODE 
 (D23D+5)y=0\left(D^2-3D+5\right)y=0 is..............

 m23m+5=0m^2-3m+5=0  

 m2+3m5=0m^2+3m-5=0  

 m23m+5m^2-3m+5  

 (m23m+5)y=0\left(m^2-3m+5\right)y=0  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 The auxiliary equation of the following ODE 
 D2y7Dy+6y=0D^2y-7Dy+6y=0 is..............

 m27m+6=0m^2-7m+6=0  

 m2+7m6=0m^2+7m-6=0  

 m23m+5m^2-3m+5  

 (m27m+6)y=0\left(m^2-7m+6\right)y=0  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 The roots of the auxiliary equation
 m27m+12=0m^2-7m+12=0 

are.....................


-3, -4

3,  -4

3 ,4

-3, 4

Tags

CCSS.HSA-REI.B.4B

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