(1 point) In this problem you will solve the non-homogeneous differential equationy" + 25y = sec? (5æ)(1) Let C, and C2 be arbitrary constants. The general solution to the related homogeneous differential equation y" + 25y = 0 is the functionYn (x) = C1 Y1 (x) + C2 Y2(x) = C1+C2NOTE: The order in which you enter the answers is important; that is, Cif(r) + C29(x) C19(x) + C2f(x).(2) The particular solution y,(r) to the differential equation y" + 25y = sec2(5x) is of the form Yp(x) = Y1(x) u1(x) + Y2(x) u2(x) where버(z) =and u (r) =(3) It follows that u1 (x) =and u2(x) =; thus yp(x) =(4) The most general solution to the non-homogeneous differential equation y" + 25y = sec²(5x) isy = C1 cos(5x)+C2 sin(5x)

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(1 point) In this problem you will solve the non-homogeneous differential equation y" + 25y = sec?(5x) (1) Let C1 and C2 be arbitrary constants. The general solution to the related homogeneous differential equation y" + 25y = 0 is the function Yn (x) = C, Y1 (x) + C2 Y2(x) = C1 +C2 NO TE: The order in which you enter the answers is important; that is, C1f(x) + C29(x) C19(x) + C2f(x). (2) The particular solution y,(x) to the differential equation y" + 25y = sec2(5x) is of the form Yp(x) = Y1(x) u1(x) + Y2(x) u2(x) where u (x) = %3D and u (r) = (3) It follows that u1(x) = and u2 (x) = ; thus yp(x) = (4) The most general solution to the non-homogeneous differential equation y" + 25y = sec2 (5x) is y = C1 cos(5x) +C2 sin(5x) +

(1 point) In this problem you will solve the non-homogeneous differential equation y" + 25y = sec?(5x) (1) Let C1 and C2 be arbitrary constants. The general solution to the related homogeneous differential equation y" + 25y = 0 is the function Yn (x) = C, Y1 (x) + C2 Y2(x) = C1 +C2 NO TE: The order in which you enter the answers is important; that is, C1f(x) + C29(x) C19(x) + C2f(x). (2) The particular solution y,(x) to the differential equation y" + 25y = sec2(5x) is of the form Yp(x) = Y1(x) u1(x) + Y2(x) u2(x) where u (x) = %3D and u (r) = (3) It follows that u1(x) = and u2 (x) = ; thus yp(x) = (4) The most general solution to the non-homogeneous differential equation y" + 25y = sec2 (5x) is y = C1 cos(5x) +C2 sin(5x) +

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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