decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation.

5y” – 3y^'+ 2y =t^3 cos⁡4t

Question

decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation.

	5y” – 3y^'+ 2y =t^3  cos⁡4t

anonymous · Answer

If you have an equation of the form:
$$y'' + p(t)y' + q(t)y = g(t)$$, then the method of undetermined coefficients will work given that your g(t) only involves: polynomials, exponentials, sines and cosines (not tangents or any of the other trig functions).