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13 Nov 2019
HW8: Problem 9 Previous Problem List Next (1 point) We consider the non-homogeneous problem y"--4y 16x3 First we consider the homogeneous problem y"-4y 0 1) the auxiliary equation is ar2 + br + c = 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is complementary solution ye = ciyi + c2y2 for arbitrary constants ci and c2 =0. (enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the the Next we seek a particular solution yp of the non-homogeneous problem y"-4y = 16x3 using the method of undetermined coefficients (See the link below for a help sheet) 4) Apply the method of undetermined coefficients to find yr.- We then find the general solution as a sum of the complementary solution = c1 y1 + cm and a particular solution: y=y,+yp . Finally you are asked to use the general solution to solve an MP. 5) Given the initial conditions y(0) = 1 and y(0) =-4 find the unique solution to the MP 26
HW8: Problem 9 Previous Problem List Next (1 point) We consider the non-homogeneous problem y"--4y 16x3 First we consider the homogeneous problem y"-4y 0 1) the auxiliary equation is ar2 + br + c = 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is complementary solution ye = ciyi + c2y2 for arbitrary constants ci and c2 =0. (enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the the Next we seek a particular solution yp of the non-homogeneous problem y"-4y = 16x3 using the method of undetermined coefficients (See the link below for a help sheet) 4) Apply the method of undetermined coefficients to find yr.- We then find the general solution as a sum of the complementary solution = c1 y1 + cm and a particular solution: y=y,+yp . Finally you are asked to use the general solution to solve an MP. 5) Given the initial conditions y(0) = 1 and y(0) =-4 find the unique solution to the MP 26
Nelly StrackeLv2
28 Jul 2019