Consider the differential equation x?y" – 8xy' + 20y = 0; x4, x5, (0, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(x4, x³) = # 0 for 0 < x < ∞. Form the general solution. y =
Consider the differential equation x?y" – 8xy' + 20y = 0; x4, x5, (0, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(x4, x³) = # 0 for 0 < x < ∞. Form the general solution. y =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Consider the differential equation
x?у" - 8ху' + 20y %3D 0;B х4, х5, (0, со).
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
The functions satisfy the differential equation and are linearly independent since W(x, x') =
# 0 for 0 < x < ∞.
Form the general solution.
y =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc08bab33-dfc3-4475-87c9-eef4dfb69a19%2Fbbf58435-b7e5-4c94-a2bd-970e94d9c8a3%2Fpo4px7_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the differential equation
x?у" - 8ху' + 20y %3D 0;B х4, х5, (0, со).
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
The functions satisfy the differential equation and are linearly independent since W(x, x') =
# 0 for 0 < x < ∞.
Form the general solution.
y =
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