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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.

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Please assist with a detailed solution, thank you. Provide an argume.pdf

  • 1. 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.