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Question: exercise 3 by results in the text they mean variable...

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ld y separation of variables, or show that it is not possible. a. yuxx +11y = 0. 2. Derive sets of three ordinary differential equations from the following partial differential equations by separation of variables. a. yuxx + xuyy + xyuzz = 0. 3. Use the results in the text to solve u = 9uxx, u(0,1) = u( 1,1) = 0, u(x,0) = 2 sin πχ-3sin 4πχ, ul(x,0) = 0 (0 < x < 1). 4. Use the results in the text to solve u(x,0) 3- 4 cos 2x (0<x <). Determine a value of to so that lu(x,t)-31 < 10-4 for t > to- 5. By separation of variables, derive the solutions un(x,y)sin nx sinh nty of

exercise 3. by results in the text they mean variable separation

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