Let us solve the following equation via separation of variables du(x, t) Ət = 3 Pu(x, t) dx² a) After using the ansatz u(x, t) = X(x)T(t), which equations do you get? Pick only two. (below C' denotes a constant) 3T (t) JT(1) = 1T(t) JT (1) de = 3CT(t) 0³X(x) d² CX(x) ²X(z) Dz² √C X(x) D De 8² X(z) = X(x) = = = √3CT(t)

Let us solve the following equation via separation of variables du(x, t) Ət = 3 Pu(x, t) dx² a) After using the ansatz u(x, t) = X(x)T(t), which equations do you get? Pick only two. (below C' denotes a constant) 3T (t) JT(1) = 1T(t) JT (1) de = 3CT(t) 0³X(x) d² CX(x) ²X(z) Dz² √C X(x) D De 8² X(z) = X(x) = = = √3CT(t)

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.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 44E

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