Consider the differential equation y" - 2y' + 17y = 0; ex cos(4x), eX sin(4x), (-∞, ∞). 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(e* cos(4x), eš sin(4x)) = # 0 for -o < x < ∞. Form the general solution. y =
Consider the differential equation y" - 2y' + 17y = 0; ex cos(4x), eX sin(4x), (-∞, ∞). 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(e* cos(4x), eš sin(4x)) = # 0 for -o < x < ∞. Form the general solution. y =
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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