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1) How can you solve the relatively easy ODE y" = - g? 2) What is the origin and the meaning of the constants in these solutions ? 3) What ODE describes the motion of a pendulum precisely - even for large angles?

1) How can you solve the relatively easy ODE y" = - g? 2) What is the origin and the meaning of the constants in these solutions ? 3) What ODE describes the motion of a pendulum precisely - even for large angles?

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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() How can you solve the relatively easy ODE_y" = g? 2) What is the origin and the meaning of the constants in these solutions ? 3) What ODE describes the motion of a pendulum precisely - even for large angles? 4) How is that ODE related to the harmonic motion ODE y"(t) + µy(t) + wy(t) = 0? 5) Do all ODEs have solutions ? 6) What do you want to learn about ODEs ?
Transcribed Image Text:() How can you solve the relatively easy ODE_y" = g? 2) What is the origin and the meaning of the constants in these solutions ? 3) What ODE describes the motion of a pendulum precisely - even for large angles? 4) How is that ODE related to the harmonic motion ODE y"(t) + µy(t) + wy(t) = 0? 5) Do all ODEs have solutions ? 6) What do you want to learn about ODEs ?
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