Consider the linear homogeneous second order initial value problem y''-4y'+29y=0,  y(0)=2,  y'(0)=-1 A)  Write out the characteristic equation corresponding to the differential equation B)  Solve the characteristic equation and write out the general solution to the equation. C) Use the initial conditions to determine the constants, then write out the final solution

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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Consider the linear homogeneous second order initial value problem

y''-4y'+29y=0,  y(0)=2,  y'(0)=-1

A)  Write out the characteristic equation corresponding to the differential equation


B)  Solve the characteristic equation and write out the general solution to the equation.


C) Use the initial conditions to determine the constants, then write out the final solution

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