Differential Equations Quiz
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SECOND-ORDER LINEAR ODES
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The homogeneous solutions to xy′′−y′=0x y'' - y' = 0 for x>0x > 0 are y1=1y_1 = 1 and y2=x2y_2 = x^2. Using variation of parameters for the equation xy′′−y′=x3x y'' - y' = x^3, what is a valid particular solution ypy_p?
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