Given that the eigenvalues and eigenfunctions of the SLP y" + ày = 0, y'(0) = 0, y(L) = 0 (2n-1)m ((2n-1)mx' A, = (=) and y, = cos 22 are 2L Let the BVP u = u, 0 0 u, (0, t) = u (5.t) = 0 u(x,0) = cos(3x) Then the solution of the BVP is A) u(x, t) = sin(3t) cos(3x) B) u(x,t) = sin (t) cas x) C) u(x, t) = e-t cos(3x) D) u(x,t) = e-t/* cos (;x) E) None

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.