Problem 1 Solve the differential equation: y'' + 3y' + 2y = 8 + x^2e^{-x} + 2sin(x)
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Find the homogeneous solution by solving the characteristic equation: r^2 + 3r + 2 = 0 (r+1)(r+2) = 0 r1 = -1, r2 = -2 So, the homogeneous solution is: y_h = c1e^(-x) + c2e^(-2x) Show more…
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