所屬科目:台大◆化工◆工程數學(E)
(a)
(b)
(c)
(a) (7%) Find the Laplace transform for
3. (10%) F= [x. y. z] is a three-dimensional vector. Please calculate the value of a surface integral ∫∫s [ F● n] dA. where S is a surface defined as x3 + y2 +z2 =9 and n is the normal vector of S.
4. (10%) Solve the following ODE
5. (15%) Solve the PDE below.
6. (15%) Solve the PDE below.
7. (10%) Find the Fourier integral of f(x).
8. (10%) Find the inverse Fourier transform of the function