(40 points) Use undetermined coefficients to solve the nonhomogeneous equation Remaining time: 321:05 (min:sec) y" + 10y + 16y = e* + x +1 a) Write the characteristic equation of the associated homogeneous part by using the variable m. 0. b) Write the solution the associated homogeneous part, by using arbitrary constants cl and c2 for c, and c3. (Note that: the order of the solutions are very important. You should write first y, such that y, (-1/2) = e and second y, such that y2 (-1/8) = e.) c) Write the form of the any particular solution (we are using A, B,C etc. for undetermined coefficients for the correspoding functions in y, in the SAME ORDER.): Yp= A +B +C and evaluate its derivatives: Y- A +B +C and y = A +B +C d) Thus evaluate the undetermined coefficients: A = B = C = e) Finally write the general solution y =

(40 points) Use undetermined coefficients to solve the nonhomogeneous equation Remaining time: 321:05 (min:sec) y" + 10y + 16y = e* + x +1 a) Write the characteristic equation of the associated homogeneous part by using the variable m. 0. b) Write the solution the associated homogeneous part, by using arbitrary constants cl and c2 for c, and c3. (Note that: the order of the solutions are very important. You should write first y, such that y, (-1/2) = e and second y, such that y2 (-1/8) = e.) c) Write the form of the any particular solution (we are using A, B,C etc. for undetermined coefficients for the correspoding functions in y, in the SAME ORDER.): Yp= A +B +C and evaluate its derivatives: Y- A +B +C and y = A +B +C d) Thus evaluate the undetermined coefficients: A = B = C = e) Finally write the general solution y =

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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