Question

You are given that yh = c1 cos(3x) +c2 sin(3x) is the general solution to the homogeneous differential equation y 00 + 9y = 0 (a) In each case below, write down your “guess” for the form of the particular solution to the differential equation. y 00 + 9y = f(x)

Question 6. (Total marks: 14) You are given that y = cos(3x) + sin(3.c) is the general solution to the homogeneous differential equation y" +9y = 0 (a) In each case below, write down your “guess” for the form of the particular solution to the differential equation. y" +9y = f(x) f(3) Form of particular solution f(0) = 22 y f(x) = 2 cos(3.c) Y 8 marks f(x) = 4.0 yr f(x) = -2 Yr (b) Use the appropriate answer from (a) to find the particular solution to Y" +9y = 2 cos(3.c) Make sure to explain the steps in finding your answer.

Answer 1

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