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Exercise 0.2.8: Verify that x = Ce-2# is a solution to x' = -2x. Find C to solve for the initial condition x(0) = 100. Exercise 0.2.9: Verify that x = Cie-† + C2e2t is a solution to x" – x' – 2x = 0. Find C1 and C2 to solve for the initial conditions x(0) = 10 and x' (0) = 0.

Exercise 0.2.8: Verify that x = Ce-2# is a solution to x' = -2x. Find C to solve for the initial condition x(0) = 100. Exercise 0.2.9: Verify that x = Cie-† + C2e2t is a solution to x" – x' – 2x = 0. Find C1 and C2 to solve for the initial conditions x(0) = 10 and x' (0) = 0.

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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Exercise 0.2.8: Verify that x = Ce-2ª is a solution to x' = -2x. Find C to solve for the initial condition x(0) = 100. Exercise 0.2.9: Verify that x = Cie-† + C2e2t is a solution to x" – x' – 2x = 0. Find C1 and C2 to solve for the initial conditions x(0) = 10 and x' (0) = 0.
Transcribed Image Text:Exercise 0.2.8: Verify that x = Ce-2ª is a solution to x' = -2x. Find C to solve for the initial condition x(0) = 100. Exercise 0.2.9: Verify that x = Cie-† + C2e2t is a solution to x" – x' – 2x = 0. Find C1 and C2 to solve for the initial conditions x(0) = 10 and x' (0) = 0.
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