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order and degree DE

Total questions: 16

Worksheet time: 10mins

Name
Class
Date
1.

Determine the order and degree for

3dydxd2ydx2+9y=03\frac{\text{d}y}{\text{d}x}-\frac{d^2y}{dx^2}+9y=0

a)

Order = 2,

Degree = 1

b)

Order = 2, Degree = 0

c)

Order = 0, Degree = 3

d)

Order = 1, Degree = 1

2.

Determine the order and degree for

7yd3ydx3+(dydx)4=17y-\frac{d^3y}{dx^3}+\left(\frac{\text{d}y}{\text{d}x}\right)^4=1

a)

Order = 1, Degree = 4

b)

Order = 3, Degree = 1

c)

Order = 4, Degree = 1

d)

Order = 1, Degree = 3

3.

Determine the order and degree for

y4+2y=3yy^4+2y^{'''}=3y''

a)

Order = 3, Degree = 1

b)

Order = 1, Degree = 4

c)

Order = 4, Degree = 1

d)

Order = 1, Degree = 3

4.

Determine the order and degree for   x2d2ydx2+xdydx=sinxx^2\frac{\text{d}^2y}{\text{d}x^2}+x\frac{\text{d}y}{\text{d}x}=\sin x  

a)

order = 1

degree = 1

b)

Order = 1

degree = 2

c)

Order = 2

degree = 1

d)

Order = 2

degree = 2

5.

Determine the order and degree for   (dydx)52x=3sinx\left(\frac{\text{d}y}{\text{d}x}\right)^5-2x=3\sin x  

a)

order = 1

degree = 5

b)

Order = 5

degree = 1

c)

Order = 2

degree = 3

d)

Order = 3

degree = 2

6.

Determine the order and degree for   d2ydx2+(dydx)33x=8\frac{\text{d}^2y}{\text{d}x^2}+\left(\frac{\text{d}y}{\text{d}x}\right)^3-3x=8  

a)

order = 1

degree = 3

b)

Order = 2

degree = 1

c)

Order = 2

degree = 3

d)

Order = 3

degree = 1

7.

  Identify the degree and order

2y"+y=10y2y"+y'=10y

a)

Degree : 2 , Order: 3

b)

Degree : 1, Order 2

c)

Degree : 2, Order 2

d)

Degree : 1, Order 1

8.

State the order and degree for differential equation below: (d2ydx2)3+5(dydx)4=cos3x\left(\frac{\text{d}^2y}{\text{d}x^2}\right)^3+5\left(\frac{\text{d}y}{\text{d}x}\right)^4=\cos3x  

a)

Order:2
Degree: 4

b)

Order:3
Degree: 2

c)

Order:2
Degree: 3

d)

Order:4
Degree: 2

9.

State the order and degree for differential equation below: 2(d2ydx2)3(dxdy)5=4y2\left(\frac{\text{d}^2y}{\text{d}x^2}\right)^3-\left(\frac{\text{d}x}{\text{d}y}\right)^5=4y  

a)

Order:1
Degree: 5

b)

Order:2
Degree: 5

c)

Order:2
Degree: 3

d)

Order:1
Degree:3

10.

What is the order and degree for the differential equation: (dydx)4(d2ydx2)=y\left(\frac{\text{d}y}{\text{d}x}\right)^4-\left(\frac{\text{d}^2y}{\text{d}x^2}\right)=-y  

a)

Order: 2
Degree: 4

b)

Order: 1 
Degree: 2

c)

Order: 1 
Degree: 4

d)

Order: 2 
Degree: 1

11.

What is the order and degree of the differential equation?

(dsdt)4+3sd2sdt=0\left(\frac{\text{d}s}{\text{d}t}\right)^4+3s\frac{\text{d}^2s}{\text{d}t}=0

a)

1, 2

b)

2, 1

c)

3, 2

d)

2, 3

12.

What is the order and degree for the differential equation: (dydx)4(d2ydx2)=y\left(\frac{\text{d}y}{\text{d}x}\right)^4-\left(\frac{\text{d}^2y}{\text{d}x^2}\right)=-y  

a)

Order: 4 
Degree: 1

b)

Order: 2 
Degree: 1

c)

Order: 1 
Degree: 4

d)

Order: 2 
Degree: 4

13.

State the order and degree for differential equation below: (d2ydx2)3+5(dydx)4=cos3x\left(\frac{\text{d}^2y}{\text{d}x^2}\right)^3+5\left(\frac{\text{d}y}{\text{d}x}\right)^4=\cos3x  

a)

Order:2
Degree: 4

b)

Order:3
Degree: 2

c)

Order:2
Degree: 3

d)

Order:4
Degree: 2

14.

Order of the differential equation

(dydx)4 + 3x d2ydx2 = 0\left(\frac{\text{d}y}{\text{d}x}\right)^4\ +\ 3x\ \frac{d^2y}{\text{d}x^2}\ =\ 0  

a)

1

b)

2

c)

3

d)

4

15.

what is the order of this DE

(y)4+3y2x = 0\left(y^{'''}\right)^4+3y^{''}-2x\ =\ 0  

a)

4th

b)

3rd

c)

2nd

d)

1st

16.

Write the degree of the differential equation

x(d2ydx2)3 + y(dydx)4 +x 3 = 0x\left(\frac{\text{d}^2y}{\text{d}x^2}\right)^3\ +\ y\left(\frac{\text{d}y}{\text{d}x}\right)^4\ +x\ ^3\ =\ 0  

a)

1

b)

2

c)

3

d)

4