Find a third order linear differential equation whose solutions include e^x+xe^x.
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Originally Posted by AmyZheng Find a third order linear differential equation whose solutions include e^x+xe^x. The easiest way I can think of would be as follows... If is a solution then . Take the derivative, you get . Take the second derivative, you get . Take the third derivative, you get . So a third order linear DE that has as a solution would be .
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