Hello I need help for all parts for all the questions. Want to double check my answers. Thank you so much! Problem Set 9 (BONUS SET)(1) Use variation of parameters to find the solution to each IVP(a) i – 2r = 3t, x(0) = 1, ±(0) = 5(b) i – 2i – x = 2e-54 – e-7", x(0) = 3, ±(0) = -4(2) For the differential equation and pairs of numbers A1 and A2 given in each case bellow,find numbers A and B such that the functionAedit + Be^atis a solution to the inhomogeneous equation.(a) i + å = e2t +e-2", d1 = 2, d2 = -2(b) ï +x = 3e4 – e*, A1 = 2, 12 = 3(c) ä +2i + 6x = V5e-t +1, A1 = -1, d2 = 0.%3D(3) For the differential equation and frequency w given in each case bellow, find numbersA and B such that the functionA cos (wt) + B sin(wt)is a solution to the inhomogeneous equation.(a) 3ž – i + 2x = 3 cos(2t), w= 2(b) 5ä + 2i + 7x = sin(3t) + cos(3t), w = 3(c) # + 2i + 6x = -11 cos(4t) + 3 sin(4t), w= 4.(4) (BONUS) Show that any combination of trigonometric functionsC1 cos(wt) + C2 sin(wt)can be expressed asRcos (wt + 6)for R, 6 chosen accordingly in terms of C1 and C2. Then, apply this principle andfind a solution to the second order equationü+ 4ủ + 13u = 0,having the form Re#t cos(wt – 8), for some R, µ, w, and d.

Name: Hello I need help for all parts for all the questions. Want to double
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Hello I need help for all parts for all the questions. Want to double check my answers. Thank you so much! Problem Set 9 (BONUS SET)(1) Use variation of parameters to find the solution to each IVP(a) i – 2r = 3t, x(0) = 1, ±(0) = 5(b) i – 2i – x = 2e