Question

DIFFERENTIAL EQUATIONS INDETERMINATE COEFFICIENTS given the function g (x) determine the proposed particular solution Yp if its possible

g(x)= -6xe^(2x)

g(x)= e^(-x) cos(2x)

g(x)= 9x^(2) -17xe^(x/2) sin(x)

g(x)= 5x^(-2) +8x^(-1) -(7/3) + 3 sqr(2)x +6x^(2)

Answer 1

For the general form of the particular solution is

For the general form of the particular solution is

For the general form of the particular solution is

For because of terms of the form the general form of the particular solution doesn't exist. Meaning such equations must be solved by other methods

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