Introduction ODE

Introduction ODE

University

9 Qs

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Introduction ODE

Introduction ODE

Assessment

Quiz

Mathematics

University

Practice Problem

Medium

Created by

NUR AZILA YAHYA

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Determine the order and degree for the following equation
 5(d4xdy4)3+7(dxdy)10+y=x5\left(\frac{\text{d}^4x}{\text{d}y^4}\right)^3+7\left(\frac{\text{d}x}{\text{d}y}\right)^{10}+y=x  

Order 1, Degree 10

Order 1, Degree 3

Order 4, Degree 10

Order 4, Degree 3

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Determine the order for the following equation 16y(4)t6y4y5=3cost16y^{\left(4\right)}-t^6y^{''}-4y^5=3\cos t  

4

6

2

5

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

For the following differential equations identify whether or not the equation is linear or non-linear  y2d2ydx2+3dydx+y=exy^2\frac{\text{d}^2y}{\text{d}x^2}+3\frac{\text{d}y}{\text{d}x}+y=e^x  

linear

non-linear

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Identify whether or not the equation is linear or non-linear x2d2tdx2+xdtdx+2t=sinxx^2\frac{\text{d}^2t}{\text{d}x^2}+x\frac{\text{d}t}{\text{d}x}+2t=\sin x  

linear

non-linear

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Determine whether or not the equation is linear or non-linear  d2ydt2+cosy=1\frac{\text{d}^2y}{\text{d}t^2}+\cos y=1  

linear

non-linear

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Determine whether or not the equation is linear or non-linear  5(dydx)24y=ex5\left(\frac{\text{d}y}{\text{d}x}\right)^2-4y=e^x  

linear

non-linear

7.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Identify the independent variable  x2d2tdx2+xdtdx+2t=sinxx^2\frac{\text{d}^2t}{\text{d}x^2}+x\frac{\text{d}t}{\text{d}x}+2t=\sin x  

t

x

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