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Consider the differential equation y 2y+ 10y= 0; e* cos(3x), e* sin(3x), (-, ). y-2y' Verify that the given functions form a fundamental set
Consider the differential equation y" 2y+ 10y= 0; e* cos(3x), e* sin(3x), (-, ). y"-2y' 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(3x), e* sin(3x)) = 0 for-00 < x < 0. Form the general solution. y =
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Advanced Engineering Mathematics
Authors: Erwin Kreyszig
6th Edition
978-0471858249, 0471858242
