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Using the method of undetermined coefficients, determine the form of a particular solution for the given differential equation. (Do not evaluate the coefficients). y +
Using the method of undetermined coefficients, determine the form of a particular solution for the given differential equation. (Do not evaluate the coefficients). y" + 49y = t' cos(7t) + te-it O yp (t) = t(Ant? + Alt + Ao) cos(7t) + t( Bat? + Bit + Bo) sin(7t) + (Cit + Cole-it O yp (t) = t(At2 + Alt + Ao) cos(7t) + t( Byt2 + Bit + Bo) sin(7t) + t( Cit + Cole-it O yp (t) = (Ant2 + Alt + Ao) cos(7t) + ( Cit + Cole-it O yp (t) = (Ant? + Alt + Ao) cos(7t) + (Bat2 + Bit + Bo) sin(7t) + (Cit + Cole-it O yp (t) = (Ant? + Alt + Ao) cos(7t) + (Byt2 + Bit + Bo) sin(7t) + t( Cit + Cole-it
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