Non-homogeneous Linear Equations


Part b: Polynomial Functions


Each differential equation has a polynomial function on the right hand side.

Find a particular solution for each equation.

No initial conditions are given because you are only asked to find one solution.


Please enter any multiplication explicitly with * symbols so the parcer can understand your answer, like this:

2t3e5t22t3e(5t2).2t^3e^{5t^2} \longrightarrow 2*t^3*e^{(5*t^2)}.

Problem 1

Find a family of functions that solves the equation and satisfies the conditions below.

y+y+y=5y'' + y' + y = 5

Initial Conditions to Check: