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Classification of differential equations

Authored by Rahifa Ranom

Mathematics

University

CCSS covered

Used 112+ times

Classification of differential equations
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Is the given differential equation linear or nonlinear?

 dydx=tanx+15x2+ex+1x\frac{dy}{dx}=\tan x+15x^2+e^x+\frac{1}{x}  

linear

non linear

not sure

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

2. What is the type of the function?

 𝑑𝑦dt=3𝑡2y\frac{𝑑𝑦}{dt}=\frac{3𝑡^2}{y}  

Linear Partial Differential Equation

Linear Ordinary Differential Equation

Nonlinear Partial Differential Equation

Nonlinear Ordinary Differential Equation

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 dydt=4ty\frac{dy}{dt}=\frac{4t}{y}  

Given that  y(0)=1y\left(0\right)=1 .Thus, the equation is

an initial value problem

a boundary value problem

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 dydx=x+1y+2\frac{dy}{dx}=\frac{x+1}{y+2}  


Is the equation homogeneous or nonhomogeneous?

Homogeneous

Nonhomogeneous

Not sure

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

TRUE

FALSE

NOT SURE

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (d2udt2)2+(dudt)3+u=t\left(\frac{d^2u}{dt^2}\right)^2+\left(\frac{du}{dt}\right)^3+u=t   

State the order and degree of the following function

Second order, second degree

Second order, third degree

First order, second degree

First order, third degree

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

 ux+uy=2xy\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=2xy  

Tick the right boxes.

Linear

Nonlinear

PDE

ODE

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