can you solve this problem please?
can you solve this problem please? 8. Determine the appropriate form of the particular solution for...
Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. J.(4) +9y" = 5 + e' (x – 3) + 4sin(3x). Ax + B + C sin(3x) + D cos(3x) + Exer Ax? + Bxe - 3x + Cxe3x + Det + Exet A + Bxe-3x + Cxe3x + Det + Exet none of these A+B sin(3x) + Cx sin(3x) + Det + Exel Ax2 + Bx cos (3x) + Cxsin (3x)...
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Puan) y (4) +9y" = 5+ (x-3) + 4sin(3x). A + B sin(3x) + Cx sin(3r) + Det + Exer A + Bxe-3x + Cxex + De' + Exet Ax? + Bxe-3x + Cxe3x + Det + Exel none of these Ax? + Bx cos(3x) + Cx sin(3x) + Del + Exe" Ax+ B + C sin(3x) + D...
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. (8 Puan y(4) +9y" = 5+ &'(x-3) + 4sin (3x). none of these O Ar? + Bx cos(3x) + Cx sin(3x) + De' + Exet Ar + B + C sin(3x) + D cos(3x) + Exe" A + Bre-3x + Crer + De + Exet O Ar? + Bxe- + Crex + Det + Exe! A + B sin(3x) + Cxsin(3x)...
be quick please 8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Puan) y (4) - 9y" = 5 + e* (x – 3) +e3x + 4 sin(3x). none of these O Ar? + Bxe3x + Cet + Dxet + Esin(3x) + F cos(3x) O AX + B + C sin (3x) + D cos(3x) + Exet O A + Be-3x + CxeBr + Det + Exel +...
Consider the following nonhomogeneous linear differential equation ay 6) + by(s) + cy!4) + dy'"' + ky'' + my' + ny=3x²3x - 7cos +1 where coefficients a, b, c, d, k, m, n are constant. Assume that the general solution of the associated homogeneous linear differential equation is YAEC,+Ce**+ c xe** + c.xe3* + ecos What is the correct form of the particular solution y of given nonhomogeneous linear differential equation? Yanitiniz: o Yo=Ax*e** + Ex + F **+Cxcos() +oxsin()+Ex+F...
Question 11 Give the form of a particular solution of (4) – 16y-2 e 2x+3e" + cos2x) – 1 a) z-Axe* + Be **+Ccos(2x) + sin(2x) + E d) Axe 2+Be+Cx cos(2x) +Dx sin(2x) +B 3-Axe* +Be+3+ Cx cos(2x) +Dx sin(2x) + E 2=Axe 2+36-3x+cos(2x) + sin(2x) -Ae 2*+Be9*+ C'x cos(2x) + DX sin(2x) + E None of the above. e) f) Question 12 Give the form of a particular solution of J14) - 4 7 " +13 y" –...
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...
(8 pts) In this problem you will solve the non-homogeneous differential equation y" + 9y = sec (3x) (1) Let C and C2 be arbitrary constants. The general solution to the related homogeneous differential equation y" + 9y = 0 is the function yn (x) = C1 yı(2) + C2 y2(x) = C1 +C2 NOTE: The order in which you enter the answers is important; that is, Cif(x) + C2g(x) + C19(x) + C2 f(x). (2) The particular solution yp(x)...
1. Set up the appropriate form of a particular solution yp, but do not determine the values of the coefficients y" +9y' = x2 + cos 2x
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...