3. Solve the equation u, for x E (0, L) and t > 0, - dx2 for the following boundary conditions: u(0, t) = 0, and u(L, t) = 0 %3D and the initial conditions: u(x,0) = 0, and du (x, 0) = f(x).
3. Solve the equation u, for x E (0, L) and t > 0, - dx2 for the following boundary conditions: u(0, t) = 0, and u(L, t) = 0 %3D and the initial conditions: u(x,0) = 0, and du (x, 0) = f(x).
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:3. Solve the equation
u, for x E (0, L) and t > 0,
for the following boundary conditions:
u(0, t) = 0, and u(L, t) = 0
and the initial conditions:
u(x, 0) = 0, and
ди
(x,0) = f(x).
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