solving for particular soln in nonhomogenous differential equation
i'm solving the differential equation x''+x'-t=0 with the conditions x(0)=0 and x'(0)=0. i got that x_h=0 but i forget how to find x_p. can someone refresh me on how to find x_p in this case?
i'm solving the differential equation x''+x'-t=0 with the conditions x(0)=0 and x'(0)=0. i got that x_h=0 but i forget how to find x_p. can someone refresh me on how to find x_p in this case?
Your equation is .
Note the RHS is a polynomial, thus, look for a solution of the form .
EDIT: Suppose the equation was .
Then look for a polynomial .