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The solution of a certain differential equation is of the form x(t) = A exp(7t) + Bexp(13t), where A and B are constants. The solution has initial conditions (0) = 10 and a'(0) = 9. Find the solution by using the initial conditions to get linear equations for A and B. x(t) = help (formulas)

The solution of a certain differential equation is of the form x(t) = A exp(7t) + Bexp(13t), where A and B are constants. The solution has initial conditions (0) = 10 and a'(0) = 9. Find the solution by using the initial conditions to get linear equations for A and B. x(t) = help (formulas)

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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The solution of a certain differential equation is of the form x(t) = A exp(7t) + Bexp(13t), where A and B are constants. The solution has initial conditions (0) = 10 and a'(0) = 9. Find the solution by using the initial conditions to get linear equations for A and B. x(t) = help (formulas)
Transcribed Image Text:The solution of a certain differential equation is of the form x(t) = A exp(7t) + Bexp(13t), where A and B are constants. The solution has initial conditions (0) = 10 and a'(0) = 9. Find the solution by using the initial conditions to get linear equations for A and B. x(t) = help (formulas)
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