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Given y1 = z is a solution to z*y'" – zy' + y = 0 on 0 < z < ∞, use reduction of order to find another solution y2. Select the correct answer below. y2 = z In(x) O y2 = z O y2 = z-1 O y2 = z O y2 = z° In(z) O y2 = 1' In(z) Now find the general solution for the nonhomogeneous ODE . z²y" – zy' + y = 4z In(z)

Given y1 = z is a solution to z*y'" – zy' + y = 0 on 0 < z < ∞, use reduction of order to find another solution y2. Select the correct answer below. y2 = z In(x) O y2 = z O y2 = z-1 O y2 = z O y2 = z° In(z) O y2 = 1' In(z) Now find the general solution for the nonhomogeneous ODE . z²y" – zy' + y = 4z In(z)

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.5PS
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Given y1 = r is a solution to z'y'' – xy' + y = 0 on 0 < x < 0, use reduction of order to find another solution y2. Select the correct answer below. O y2 = I. a In(x) 42 = z 1 Y2 = I Y2 = 1 2 = z° In(z) 'Y2 = 1 In(x) Now find the general solution for the nonhomogeneous ODE . a'y" – zy' + y = 4x In(x) Your answer should take the form y = Ayı(x) + By2(x) + Yp(x). Use A and B for your arbitrary constant.
Transcribed Image Text:Given y1 = r is a solution to z'y'' – xy' + y = 0 on 0 < x < 0, use reduction of order to find another solution y2. Select the correct answer below. O y2 = I. a In(x) 42 = z 1 Y2 = I Y2 = 1 2 = z° In(z) 'Y2 = 1 In(x) Now find the general solution for the nonhomogeneous ODE . a'y" – zy' + y = 4x In(x) Your answer should take the form y = Ayı(x) + By2(x) + Yp(x). Use A and B for your arbitrary constant.
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