MATH 222 Midterm: MATH 222 NJIT M222 FEF07

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1. (a) (10) solve the initial value problem x w (b) (10) find all eigenvalues and eigenfunctions of the boundary value problem: ww. C ! ! c ! 2 (a) (6) sketch the odd periodic extension of period of. 1 (b (10) find the fourier sine series of. 0 b " b ! x with period 2. Find the inverse laplace transform of the following functions: (a) (8) j = #= " (b) (8) k = " = : (a) 8 find the solution ww. C ! ! c ! ! w. (b (4) calculate (c) (4) find the value of. 1: state if the following ivp"s are linear or nonlinear, and solve the problems: (a) C: (a) 8 determine the appropriate form of a particular solution. =38 #b b -9= for the differential equation: C: (b) 8 given that use reduction of order to find the second linearly independent solution.