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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