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13 Nov 2019
HW8: Problem 14 Previous Problem List Next (1 point) We consider the non-homogeneous problem y" + 6y + 1 3y = 360 cos(x) First we consider the homogeneous problem y" + 6y + 13y = 0 1) the auxiliary equation is ar2 + br + c 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is =0. (enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the the complementary solution y, cy + c2y2 for arbitrary constants ci and c2 + 13y Next we seek a particular solution yp of the non-homogeneous problem " + 6 undetermined coeficients (See the link below for a help sheet) 360 cos x using the method of 4) Apply the method of undetermined coefficients to find y- We then find the general solution as a sum of the complementary solution ye -ciyn +o22 and a particular solution: y yc + yp' Finally you are asked to use the general solution to solve an NR 5) Given the initial conditions y(0) -24 and y(0) - 10 find the unique solution to the IVP y-
HW8: Problem 14 Previous Problem List Next (1 point) We consider the non-homogeneous problem y" + 6y + 1 3y = 360 cos(x) First we consider the homogeneous problem y" + 6y + 13y = 0 1) the auxiliary equation is ar2 + br + c 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is =0. (enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the the complementary solution y, cy + c2y2 for arbitrary constants ci and c2 + 13y Next we seek a particular solution yp of the non-homogeneous problem " + 6 undetermined coeficients (See the link below for a help sheet) 360 cos x using the method of 4) Apply the method of undetermined coefficients to find y- We then find the general solution as a sum of the complementary solution ye -ciyn +o22 and a particular solution: y yc + yp' Finally you are asked to use the general solution to solve an NR 5) Given the initial conditions y(0) -24 and y(0) - 10 find the unique solution to the IVP y-
Reid WolffLv2
9 Nov 2019