Consider the nonhomogeneous linear equation y" +9y' g(t) with the complementary solution y,= c1y1(t) + czy2(t) + caya(t). By the method of Variation of Parameters, a particular solution of the nonhomogeneous equation is of the form y, = u1 (t)y1(t) + u2 (t)y2(t) + u3(t)y3(t). Find the equation satisfied by the function u, (t). O a. (t) =-9(t) cos 3t O b. (t) = g(t) sin 3t Oc (t) = 9(t) cos 3t O d. (t) = -9(t) sin 3t

Consider the nonhomogeneous linear equation y" +9y' g(t) with the complementary solution y,= c1y1(t) + czy2(t) + caya(t). By the method of Variation of Parameters, a particular solution of the nonhomogeneous equation is of the form y, = u1 (t)y1(t) + u2 (t)y2(t) + u3(t)y3(t). Find the equation satisfied by the function u, (t). O a. (t) =-9(t) cos 3t O b. (t) = g(t) sin 3t Oc (t) = 9(t) cos 3t O d. (t) = -9(t) sin 3t

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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