Use the separation of variables method to find the solution of IBVP:дид и0≤x≤4, 120at ax²Subject to the boundary conditions and initial condition:duau (0,1)=0, (4,1)=0, u(x,0)= g(x).auaxSolution:

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Use the separation of variables method to find the solution of IBVP du du at ax² 0≤x≤4, 120 Subject to the boundary conditions and initial condition: du ди au (0,1)=0, (4,1)=0, u(x,0) = g(x). ax

Use the separation of variables method to find the solution of IBVP du du at ax² 0≤x≤4, 120 Subject to the boundary conditions and initial condition: du ди au (0,1)=0, (4,1)=0, u(x,0) = g(x). ax

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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Question

Use the separation of variables method to find the solution of IBVP:
дид и
0≤x≤4, 120
at ax²
Subject to the boundary conditions and initial condition:
du
au (0,1)=0, (4,1)=0, u(x,0)= g(x).
au
ax
Solution:

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