5. Solve the initial-boundary value problem u(x, t) = c²u(x, t) for 0 0; u(x, 0) = sin 2x; u₁(x,0) = re-²; u(0, t) = 0 for all t > 0.
5. Solve the initial-boundary value problem u(x, t) = c²u(x, t) for 0 0; u(x, 0) = sin 2x; u₁(x,0) = re-²; u(0, t) = 0 for all t > 0.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 1YT: Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.
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Transcribed Image Text:5. Solve the initial-boundary value problem
u(x, t) = c²u(x, t) for 0<x<∞,t> 0;
u(x, 0) = sin 2x;
u₁(x,0) = re-²;
u(0, t) = 0
for all t > 0.
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