## [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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