We consider the non-homogeneous problem y"-y-22-20 cos(22) +1 First we consider the homogeneous problem y-y=0 1) the auxiliary equation is ar + br+c= 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is -0. y= (enter answers as a comma separated list) center answers as a comma separated list). Using these we obtain the the complementary solution + for arbitrary constants cy and c Next we seek a particular solution of the non-homogeneous problem y-y-22-20 cos(22) + 1 using the method of undetermined coefficients (See the link below for a help shoot) 4) Apply the method of undetermined coefficients to find y We then find the general solution as a sum of the complementary solution 35+ and a particular solution y=+, Finally you are asked to use the general solution to solve an MP 5) Given the initial conditions (0)=3 and y/ (0)=2 find the unique solution to f MVP
We consider the non-homogeneous problem y"-y-22-20 cos(22) +1 First we consider the homogeneous problem y-y=0 1) the auxiliary equation is ar + br+c= 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is -0. y= (enter answers as a comma separated list) center answers as a comma separated list). Using these we obtain the the complementary solution + for arbitrary constants cy and c Next we seek a particular solution of the non-homogeneous problem y-y-22-20 cos(22) + 1 using the method of undetermined coefficients (See the link below for a help shoot) 4) Apply the method of undetermined coefficients to find y We then find the general solution as a sum of the complementary solution 35+ and a particular solution y=+, Finally you are asked to use the general solution to solve an MP 5) Given the initial conditions (0)=3 and y/ (0)=2 find the unique solution to f MVP
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:We consider the non-homogeneous problem y"-y-22-20 cos(22) +1
First we consider the homogeneous problem y-y=0
1) the auxiliary equation is ar + br+c=
2) The roots of the auxiliary equation are
3) A fundamental set of solutions is
=0.
y=
(enter answers as a comma separated lst)
(enter answers as a comma separated list). Using these we obtain the the complementary solution
+ for arbitrary constants cy and c
Next we seek a particular solution of the non-homogeneous problem y-y-22-20 cos(22) + 1 using the method of undetermined coefficients (See the link below for
a help sheet)
4) Apply the method of undetermined coefficients to find
We then find the general solution as a sum of the complementary solution 35+ and a particular solution y=+3 Finally you are asked to use the general
solution to solve an MP
5) Given the initial conditions (0)=3 and y/ (0)=2 find the unique solution to the VP
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