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[solution]: Same has the others, thank you for all your help with this. Once


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Same has the others, thank you for all your help with this. Once I get through this class I will be home free! lol


Math 270

 


 

Name ______________________________

 


 

Lab #6

 


 

Higher order homogeneous and non-homogeneous Differential

 

Equations, with distinct, repeated, or complex roots

 

Show all work for full credit.

 

1.)

 


 

y?? + 7y?+ 12y = 0

 


 

2.)

 


 

y?? - 25y = 0

 


 

3.)

 


 

D2y - Dy + 3y = 0

 


 

Page 1

 


 

Math 270

 


 

4.)

 


 

5.)

 


 

Name ______________________________

 


 

Lab #6

 


 

y?? + 3y? = 0

 


 

Find the particular solution of the differential equation satisfying the given conditions

 

d2 y dy

 


 

20y 0 , y = 2 and y? = 1 when x = 1

 

dx 2 dx

 


 

Page 2

 


 

Math 270

 


 

6.)

 


 

Name ______________________________

 


 

Lab #6

 


 

Find the particular solution of the differential equation satisfying the given conditions

 

D2y - 2Dy + 2y = 0 , y = -1 and y? = 1 when x = 0

 


 

Page 3

 


 

Math 270

 


 

7.)

 


 

Name ______________________________

 


 

2y??? + 3y?? ? 8y? + 3y = 0

 


 

Page 4

 


 

Lab #6

 


 

Math 270

 


 

8.)

 


 

Name ______________________________

 


 

D4y + 25D2y + 144y = 0

 


 

9.) - D2y - 2Dy + y = 5x

 


 

Page 5

 


 

Lab #6

 


 

Math 270

 


 

Name ______________________________

 


 

10.) y?? ? 5y? = e5x

 


 

Page 6

 


 

Lab #6

 


 

Math 270

 


 

Name ______________________________

 


 

Lab #6

 


 

11.)

 


 

Use desolve to find the solution to the differential equation given initial values that

 

y = 2 and y? = 3 when x = 0 for y?? + 4y = cos(2x)

 


 

12.)

 


 

Find the particular solution of the differential equation satisfying the given conditions

 

D2y + 4y = x2 + 2 , y = 1 and y? = 2 when x = 0, correct to four places.

 


 

Page 7

 


 

 


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