Please assist with a detailed solution, thank you. Provide an argument (without solving the differential equation) as to why the functions plotted below are solutions to y\'\' + 2y\' + 4y = 3 - 3x and not to y\'\' + 2y\' + 4y = 3e^2x or y\'\' + 2y\' + 4y = sin ( 2pi/9 x), for example. Solution It\'s simple. Subtitute 5 for x on the right hand side of the equation. The first one will give a negative value while the other two will give positive values. The frist function is the only one that conforms to the graph due to the negative outputs after a certain point..