(a) Determine the form of the particular solution needed to use undetermined coefficients method to solve the nonhomogeneous equation: (DO NOT SOLVE!) y" -9y' +14y = 3x² – 5sin 2x + 7xe²* (b) For the equation above, give three examples of functions for the right hand side that would require the method of variation of parameters (since it couldn’t be solved by the method of undetermined coefficients.)

Q: Hello, could I get help on this,  please and thank you! ' Y= x^2-7x+15 Y= 2x-5"

A: Given: y=x2-7x+15y=2x-5

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