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PDE.12 d²T Find the most generic solution to the time equation (PDE eqn 17) dt² Note: -v²k²T. Note: since the equation is a second order ODE, you will need two constants. Use a and b for these constants. T(t) = (a(cos(vkt)) + b sin (vkt)) X for the case when the separation constant k is zero. • Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful!

PDE.12 d²T Find the most generic solution to the time equation (PDE eqn 17) dt² Note: -v²k²T. Note: since the equation is a second order ODE, you will need two constants. Use a and b for these constants. T(t) = (a(cos(vkt)) + b sin (vkt)) X for the case when the separation constant k is zero. • Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful!

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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PDE.12 d²T Find the most generic solution to the time equation (PDE eqn 17) dt² -v²k²T, Note: == for the case when the separation constant k is zero. Note: since the equation is a second order ODE, you will need two constants. Use a and b for these constants. T(t) = (a(cos(vkt)) + b sin (vkt)) • Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful!
Transcribed Image Text:PDE.12 d²T Find the most generic solution to the time equation (PDE eqn 17) dt² -v²k²T, Note: == for the case when the separation constant k is zero. Note: since the equation is a second order ODE, you will need two constants. Use a and b for these constants. T(t) = (a(cos(vkt)) + b sin (vkt)) • Remember that your tutorial has Hints in it, at the end of each chapter. If you're stuck, they are often quite useful!
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