Let p and q be polynomials of degree n with domain R. If there exists c e R such that W [p, q](c) = 0, then p and q are linearly dependent. Suppose the general solution of a linear, second-order ODE is y = domain D, where C1, C2 E R. Then for any x € D, W[y1, y2](x) # 0. C1y1 + C2y2 with Let L denote the Laplace transform and f(t) = sin(t) cos(t) Then L(f) exists.

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