8) y = e*, y2 2x = e are all solutions to y (4 (4) -...

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8) y = e*, y2 2x = e are all solutions to y (4 (4) - - 4y''' + 3y + 4y' 4y = 0 (you do not e-x, and y3 need to show this). Evaluate the Wronskian of these 3 functions. Is {ex, ex, ex} a fundamental set of solutions to this differential equation? 9) y = x is a solution to xy" - xy' - 3y = 0. Find a 2nd solution to this equation that is not a constant multiple of x3. 10) Solve by variation of parameters: y" + 3y' + 2y = xex 8) y = e*, y2 2x = e are all solutions to y (4 (4) - - 4y''' + 3y + 4y' 4y = 0 (you do not e-x, and y3 need to show this). Evaluate the Wronskian of these 3 functions. Is {ex, ex, ex} a fundamental set of solutions to this differential equation? 9) y = x is a solution to xy" - xy' - 3y = 0. Find a 2nd solution to this equation that is not a constant multiple of x3. 10) Solve by variation of parameters: y" + 3y' + 2y = xex