28 through 36 indicate a way of solving nonhomogeneous

Chapter 11, Problem 33

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28 through 36 indicate a way of solving nonhomogeneous boundary value problems that is analogous to using the inverse matrix for a system of linear algebraic equations. The Greens function plays a part similar to the inverse of the matrix of coefficients. This method leads to solutions expressed as definite integrals rather than as infinite series. Except in 35, we will assume that = 0 for simplicityIn each of 31 through 34, solve the given boundary value problem by determining the appropriate Greens function and expressing the solution as a definite integral. Use Eqs. (i) to (iv) of 30.(y+ y) = f(x), y(0) = 0, y(1) = 0