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
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Chapter1: Functions And Models
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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 =
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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