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7. The general solution of the diffe to be the function r(t) = c₁et.

7. The general solution of the diffe to be the function r(t) = c₁et.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. The general solution of the differential equation x"-4x'+3x = 0 happens to be the function x(t) = c₁et + c₂e³t.
Transcribed Image Text:7. The general solution of the differential equation x"-4x'+3x = 0 happens to be the function x(t) = c₁et + c₂e³t.
(a) Verify that x(t) is actually a solution of this differential equation. (b) Write the system of equations that determines the constants c₁ and C2 of the solution that satisfies the initial conditions x(0) = 2, x'(0) = Do not solve the system. = -1. C₁ (c) Write the system of equations that determines the constants C₂ of the solution that satisfies the boundary conditions x(0) = 5, x(1) = 2. Do not solve the system. and
Transcribed Image Text:(a) Verify that x(t) is actually a solution of this differential equation. (b) Write the system of equations that determines the constants c₁ and C2 of the solution that satisfies the initial conditions x(0) = 2, x'(0) = Do not solve the system. = -1. C₁ (c) Write the system of equations that determines the constants C₂ of the solution that satisfies the boundary conditions x(0) = 5, x(1) = 2. Do not solve the system. and
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