(5) For the nonhomogeneous equation x²y" - 4xy' + 6y = x³ the two linearly independent solutions to the homogeneous part x²y" - 4xy' +6y=0 are x² and ³. Use the method of variation of parameters to find a particular solution of the nonhomoge- neous equation (*).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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(5) For the nonhomogeneous equation
x²y" - 4xy' + 6y = x³
the two linearly independent solutions to the homogeneous part
x²y" - 4xy' +6y=0
are x² and ³. Use the method of variation of parameters to find a particular solution of the nonhomoge-
neous equation (*).
Transcribed Image Text:(5) For the nonhomogeneous equation x²y" - 4xy' + 6y = x³ the two linearly independent solutions to the homogeneous part x²y" - 4xy' +6y=0 are x² and ³. Use the method of variation of parameters to find a particular solution of the nonhomoge- neous equation (*).
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