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13 Nov 2019
HW8: Problem 17 Previous Problem List Next (1 point) We consider the non-homogeneous problem y"-y' = 1-2x First we consider the homogeneous problem y"-y = 0 1) the auxiliary equation is ar2 + br + c 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is the complementary solution ye -ciy C22 for arbitrary constants c and =0. enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the y = 1-2x using the method of undetermined Next we seek a particular solution y of the non-homogeneous problem y" coefficients (See the link below for a help sheet) = 4) Apply the method of undetermined coefficients to find ciyi + and a particular solution We then find the general solution as a sum of the complementary solution y y = yc + yp . Finally you are asked to use the general solution to solve an NR 5) Given the initial conditions y(0)-1 and y (O) 2 find the unique solution to the IVP y=
HW8: Problem 17 Previous Problem List Next (1 point) We consider the non-homogeneous problem y"-y' = 1-2x First we consider the homogeneous problem y"-y = 0 1) the auxiliary equation is ar2 + br + c 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is the complementary solution ye -ciy C22 for arbitrary constants c and =0. enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the y = 1-2x using the method of undetermined Next we seek a particular solution y of the non-homogeneous problem y" coefficients (See the link below for a help sheet) = 4) Apply the method of undetermined coefficients to find ciyi + and a particular solution We then find the general solution as a sum of the complementary solution y y = yc + yp . Finally you are asked to use the general solution to solve an NR 5) Given the initial conditions y(0)-1 and y (O) 2 find the unique solution to the IVP y=
Jamar FerryLv2
18 Feb 2019