Consider the initial value problem (IVP) given by y" - 6y/+9y e, y(0) = 1, y(0) = -4. (*) %3D %3D (a) Give the two IVPS of the associated homogeonous DE (yn(x)) and nonhomoge- neous DE (y,nh (x)) needed to solve (*). (b) From your answers in (a), (i) use the method of undetermined coefficients to solve for y,(r). Explain why the particular solution is not of the form Aem, where A, m ER. (ii) use Green's function to solve for ynh(r).

Consider the initial value problem (IVP) given by y" - 6y/+9y e, y(0) = 1, y(0) = -4. () %3D %3D (a) Give the two IVPS of the associated homogeonous DE (yn(x)) and nonhomoge- neous DE (y,nh (x)) needed to solve (). (b) From your answers in (a), (i) use the method of undetermined coefficients to solve for y,(r). Explain why the particular solution is not of the form Aem, where A, m ER. (ii) use Green's function to solve for ynh(r).

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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