Mathematics Homework Solutions
Problem
#145384

Nonhomogeneous Differential Equations : Particular and General Solutions

14. Consider the nonhomogeneous linear equation

dy/dt = λy + cos(2t)

To find its general solution, we add the general solution of the associated homogeneous equation and a particular solution
yp(t) of the nonhomogeneous equation. Briefly explain why it does not matter which solution of the nonhomogeneous equation we use for yp(t).



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