Which of the following is the FORM of a particular solution of the differential equation y"...
Which of the following represents the form of the particular solution y, of the differential equation? y" + 2y' - 24y = 372 +2cos(51) Ovp = Ar? + Bcos(5t) + C O yp= Ar? +8sin(58) Yp - Al? + B+ + C + Dcos(5t) + Esin(58) Ovo - Ar+ Bcos(5t) + Csin(51)
Match the differential equation with it's particular solution form. You MUST use the method of undetermined coefficients and you MUST show all work as to how you came to your conclusions. You have ONE (1) attempt at this problem 5t a. At’e -56 5t 4t b. Ate 5t 5t cđe Vy' + 2y' – 8y = (4t+5) - Vy' + 10y' + 25y = e - Vy" + 2y' – 8y = e y' + 2y' – Sy = (4t...
Which of the following functions is the FORM of a particular solution of the differential equation D(D2 + 2)(D - 1)y = 3+ 4x + e* - 5e21 Select one: O A. yp(x) = Ax + Bx2 + Cell + Dxe21 O B. Yp(x) = A + Bx + Cxe+ Dxe20 O C. yp(x) = Ax2 + Bx3 + Cell + Dxe21 O D. Yp(x) = Ax2 + Bx3 + Cxe + De22 O E. yp(x) = Ax + Bx2...
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.)
differential equations A particular solution of the equation y" + 16 y = 241 + 2 sin(4 t) should have the form: ae4l+ct sin(4 t) +et cos(4t) ett + c sin(4 t) + e cos(4 t) a e^tt+ ct sin(4 t) a e"! + c sin(4t)
Determine the form of a particular solution for the differential equation. Do not solve. y"-y=4e2 +772e2 The form of a particular solution is yp(t) = 0 (Do not use d, D, e, E, I, or I as arbitrary constants since these letters already have defined meanings.)
2 (6 points) Determine a suitable form for a particular solution of the differential equation y" + y 3 sint-1e-2 +t sin(2t) e. Do NOT determine a particular solution, just write the form that you will use when looking for one.
can someone solve this differential equation. I'll definitely leave good remarks dey The general solution of the differential equation 3 dy dx + 2y = ex dx2 Select one: y = Ae* - Be2x + xex a. y = Ae*+ Be2x -xe-x b. y = Ae* + Be2x - xex C. y = Ae X+ Be-2x + xex d.
3. Consider the differential equation ty" - (t+1)y + y = t?e?', t>0. (a) Find a value ofr for which y = et is a solution to the corresponding homogeneous differential equation. (b) Use Reduction of Order to find a second, linearly independent, solution to the correspond- ing homogeneous differential equation. (c) Use Variation of Parameters to find a particular solution to the nonhomogeneous differ- ential equation and then give the general solution to the differential equation.