Undetermined Coefficients with Hyperbolic Sines and Cosines

The method of undetermined coefficients is commonly applied to solve linear, constant coefficient, non-homogeneous ordinary differential equations when the forcing function from a selected class functions. Often hyperbolic sine and cosine functions are not explicitly included in this list Through set guided examples, work argues that ought be select Careful explanation provided for necessary treatment cases where argument and/or matches one or both roots characteristic equation equation. Finally, generalized approach trigonometric written their exponential form illustrates connections between exponential, trigonometric, This exploration leads deeper understanding can adapted into coursework on topic.