Hi please help with this question Use the method of separation of variables and the superposition principle to solve the PDE2,02²ax² +subject to the boundary conditionsux(0,t) = 0, ux(6π, t) = 0, t > 0,duƏtu, 0 < x < 6л, t > 0,and the initial condition2u(x,0) = sin²x+cos(5x), 0 < x < 6π.(Hint: Using a trigonometric identity might help.)

Given: The partial differential equation is ∂u∂t=∂2u∂x2+20u where 0<x<6π and t>0. The…

Use the method of separation of variables and the superposition principle to solve the PDE 2,0 +u, 0 < x < 6π, t > 0, ² əx² subject to the boundary conditions ux(0,t) = = 0, ux(6π, t) = 0, t > 0, ди = dt and the initial condition 2 u(x,0) = sin²x+cos(5x), 0 < x < 6π. (Hint: Using a trigonometric identity might help.)

Use the method of separation of variables and the superposition principle to solve the PDE 2,0 +u, 0 < x < 6π, t > 0, ² əx² subject to the boundary conditions ux(0,t) = = 0, ux(6π, t) = 0, t > 0, ди = dt and the initial condition 2 u(x,0) = sin²x+cos(5x), 0 < x < 6π. (Hint: Using a trigonometric identity might help.)

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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