Question 12 Give the form of a particular solution of (4) – 4y + 13 y"...
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" –...
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...
Use undetermined coefficients to find the particular solution to y’’ – 4y' + 3y = e*((22 – 122 )cos(3x) + (58 + 362 )sin(3x)) Yp(x) = Preview
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)...
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)...
Find A PARTICULAR SOLUTION FOR CHINT: xz yu - 6x y' +4y= 3x"? (TRY ) y= Ax!/3 (6 fino A PARTICULAR SOLUTION FOR: y"-44'-12y = 22% (-3x2+4x+5) Hint : TRY y = 2 e2x THEN 205 € U= AX2+BX+C
undetermined coefficents solutions with designated method
please complete circled equations
4. Find the general solution by undetermined coethcies "+4y Sr +4sin(2). cos(2) +c2 sin(2r). SOLUTION: The homogeneous solution is +4-02 does match ga so we must multiply by z. So For the particular solution, Se Ae2 which does not match h. But B cos(2z)+Csin(2) Ae Br cos(2x)+ Cr sin(2r) (Bs cos(2x) )" = 0cm(2x)-,4B sin(2x)-4B2 cos(2z), Using ()"-f'g+2f's+is", we have Ca sin(2x)Osin(2r)+4C cos(22)-4Cz sin(2r). So plugging Vo in for y,...
evens from 2 and 6
In Exercises 1-6 find a particular solution by the method used in Example 5.3.2. Then find the general solution and, where indicated, solve the initial value problem and graph the solution. 1. y' + 5y - 6y= 22 + 180 - 1842 2. y' - 4y + 5y = 1+ 5.0 3. y' + 8y + 7y = -8-2+24x2 + 7ar3 4. y' - 4y + 4y = 2 + 8x - 4.2 CIG /'...
can you solve this problem please?
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Points) +9y" = 5 + e* (x – 3) + 4sin (3x). y (4) A + B sin(3x) + Cxsin (3x) + Det + Exer none of these A + Bxe-3x + Cxe3x + Det + Exet Ax2 + Bxe-3x + Cxe3x + Det + Exer Ax + B + C sin(3x) +...
QUESTION 1 To find a particular solution of the differential equation (D - 1)?(D – 2)(D2 + 1)y = e* + cos – 2 sin z one can use the following trial solution OA Ao + A, cos x + A2 sin OB Anx?et + x² (A, COS I+ A2 sin I) Ос. Aoxe" + x(A, COS X + A2 sin x) OD. Age* + x(A, COS I+ A2 sin x) OC Apx?et + ](A, COS I + A2 sin...