1) Solve the initial value problems (i.e. find particular solutions) a) y''+8y'+16y=0 with y(0)=2 and y’(0)= −5. b) 3y''-18y'+75y=0 with y(0)=1.5 and y’(0)=14.5. c) 6y''+17y'+10y=0 with y(0)= −7 and y’(0)=1.

1) Solve the initial value problems (i.e. find particular solutions) a) y''+8y'+16y=0 with y(0)=2 and y’(0)= −5. b) 3y''-18y'+75y=0 with y(0)=1.5 and y’(0)=14.5. c) 6y''+17y'+10y=0 with y(0)= −7 and y’(0)=1.

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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Question

1) Solve the initial value problems (i.e. find particular solutions)
a) y''+8y'+16y=0 with y(0)=2 and y’(0)= −5.
b) 3y''-18y'+75y=0 with y(0)=1.5 and y’(0)=14.5.
c) 6y''+17y'+10y=0 with y(0)= −7 and y’(0)=1.

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