Solve Ut - · 6ux +4u = 5e*, -∞0 u(x, 0) = 2 sin(x) First change to characteristic coordinates (§, s) where s = t and દુઃ $ = ☐ help (formulas) picked so that when s Us + = = t = 0 then = x, and that the equation becomes an ODE in s : help (formulas) with initial condition u. 8=0 help (formulas) Solving this ODE, write u in terms of (§, s) : u = help (formulas) Finally write u in terms of (x, t) : u = help (formulas) Book: Section 1.9 of Notes on Diffy Qs

Solve Ut - · 6ux +4u = 5e*, -∞0 u(x, 0) = 2 sin(x) First change to characteristic coordinates (§, s) where s = t and દુઃ $ = ☐ help (formulas) picked so that when s Us + = = t = 0 then = x, and that the equation becomes an ODE in s : help (formulas) with initial condition u. 8=0 help (formulas) Solving this ODE, write u in terms of (§, s) : u = help (formulas) Finally write u in terms of (x, t) : u = help (formulas) Book: Section 1.9 of Notes on Diffy Qs

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.4: Fractional Expressions

Problem 37E

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