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1. Set up the appropriate form of a particular solution yp, but do not determine the...
1. Set up the appropriate form of a particular solution yp, but do not determine the values of the coefficients V" +y = r? + cos2.c 2. Transform the following differential equation into an equivalent system of first order differential equations - 312) - 4x + 2x2 - 2 cost
Consider the differential equation y(4) +9y" = (5x2 +1) cos 31. Set up the appropriate form of the particular solution yp, but do not determine the values of the coefficients.
4. Determine the form of a particular solution (do not evaluate coefficients) to: y' +9y=1 sin 31
IV. Determine the form for yp but do NOT evaluate the constants. 1. y" - 5y' + 6y = ex cos 2x + e2x(3x + 4) sin x (ans. this is #21(a) in sec. 3.6) 2. y" - 3 y' - 4 y = 3 e2x + 2 sin x - 8eXcos 2x (ans. Yp = Ae2x + B cos x + C sin x + De* cos 2x + E e sin 2x) V. Solve by variation of parameters....
Determine the form of a particular solution for the differential equation. Do not solve. y" - 18y' + 82y = et + tsin 2t - cos 2t The form of a particular solution is yp(t)= (Do not use d D. e. Ei or las arbitrary constants since these letters already have defined meanings.)
Determine the form of a particular solution for the differential equation. Do not solve. y" - 4y' + 5y = e 7 + t sin 6t - cos 6t The form of a particular solution is yp(t)- (Do not use d, D, e, E, I, or I as arbitrary constants since these letters already have defined meanings.)
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)...
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...
Problem 4 (12 points) Set-up the most appropriate form of an ansat for the particular solution () using the Method of Undetermined Cocflicients. Nood NOT find the values of these undetermined coeflicients. (a) y" 4y 12y = sin(21) (1) y = 2.25
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 +...