How to find y_p (y-particular) when solving Linear Diff. Equation Using Laplace Transformations

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How to find y_p (y-particular) when solving Linear Diff. Equation with constant coefficients (undetermined method), i.e., a_nx^(2) +...+ a_0y = f(x), where a_n not = 0, a_n, ..., a_0 are some real numbers by Laplace and Undetermined Coeff. method (combined)
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Thank you very much! You should really consider uploading all your lectures online!

ILoveMaths