In this question we are interested in the following semi-linear second-order PDEs where F can be any function. Find the discriminant of this PDE in terms of 8 and t Hence determine if the PDE is Hyperbolic, Parabolic, Elliptic or Mixed. Please enter 2 for Hyperbolic, 3 for Elliptic, 6 for Parabolic and 8 for Mixed. Check (2) Uss+(2-8 t)ust + (-2)uu = F(us, ut, u),

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In this question we are interested in the following semi-linear second-order PDEs
where F can be any function.
Find the discriminant of this PDE in terms of s and t
Hence determine if the PDE is Hyperbolic, Parabolic, Elliptic or Mixed.
Please enter 2 for Hyperbolic, 3 for Elliptic, 6 for Parabolic and 8 for Mixed.
Check
(2)uss + (2. s. t)ust + (−2)utt = F(Us, Ut, U),
Transcribed Image Text:In this question we are interested in the following semi-linear second-order PDEs where F can be any function. Find the discriminant of this PDE in terms of s and t Hence determine if the PDE is Hyperbolic, Parabolic, Elliptic or Mixed. Please enter 2 for Hyperbolic, 3 for Elliptic, 6 for Parabolic and 8 for Mixed. Check (2)uss + (2. s. t)ust + (−2)utt = F(Us, Ut, U),
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