Question 5. Solve for y(x) given that y"+12y +37y--222 subject to y(0) = -9 and y'(0) = 22. (1) write down and solve the associated auxiliary equation (ii) hence determine the natural response function (complementary function). (iii) determine the forced response function (particular integral) (iv) hence find an expression for y(a) which satisfies both the differential equation and the given initial conditions. Note that although the question is in four parts, this is for your guidance only. For this question please just enter the form of the particular solution, as a function of a in the following box:

Question 5. Solve for y(x) given that y"+12y +37y--222 subject to y(0) = -9 and y'(0) = 22. (1) write down and solve the associated auxiliary equation (ii) hence determine the natural response function (complementary function). (iii) determine the forced response function (particular integral) (iv) hence find an expression for y(a) which satisfies both the differential equation and the given initial conditions. Note that although the question is in four parts, this is for your guidance only. For this question please just enter the form of the particular solution, as a function of a in the following box:

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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