y e-2 is a solution to the following ODE:y" - 2/ - 8y = 0. Use Reduction of Order to find a 2nd linearly independent solution Step 1: Let y Select] Then y'Select] [Select] Step 2: Substitute y, y', and y" into the ODE and simplify to get Step 3: Reduce the Order. Let w = u' [Select] Step 4: Solve the equation for w. Step 5: Solve for u. Step 6. Identify the two linearly independent solutions. 2 was given as one solution. A second linearly independent solution is Select]

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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y e-2 is a solution to the following ODE:y" - 2/ - 8y = 0. Use Reduction of Order to find a 2nd
linearly independent solution
Step 1: Let y Select]
Then y'Select]
[Select]
Step 2: Substitute y, y', and y" into the ODE and simplify to get
Step 3: Reduce the Order. Let w = u'
[Select]
Step 4: Solve the equation for w.
Step 5: Solve for u.
Step 6. Identify the two linearly independent solutions.
2
was given as one solution. A second linearly independent solution is
Select]
Transcribed Image Text:y e-2 is a solution to the following ODE:y" - 2/ - 8y = 0. Use Reduction of Order to find a 2nd linearly independent solution Step 1: Let y Select] Then y'Select] [Select] Step 2: Substitute y, y', and y" into the ODE and simplify to get Step 3: Reduce the Order. Let w = u' [Select] Step 4: Solve the equation for w. Step 5: Solve for u. Step 6. Identify the two linearly independent solutions. 2 was given as one solution. A second linearly independent solution is Select]
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