1) Solve the differential equation -sin (2) cos (3) dt Find the particular solution that solves...
need help please 1) Solve the differential equation -sin (20) cos (3) dt Find the particular solution that solves the IVP y) =
sin x 2. Solve the differential equation dx X Find the particular solution if y 1 when x = pi/2 +
a. Find a particular solution to the nonhomogeneous differential equation y" + 4y = cos(2x) + sin(2x) b. Find the most general solution to the associated homogeneous differential equation. Use cand in your answer to denote arbitrary constants. c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 8 and y'(0) = 4
a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...
Solve i. and ii. Given the ordinary differential equation: cos(x)y' = sin(x)y + 1 Find the general solution of the given differential equation. ii. Solve the ordinary differential equation: ay' + by = a cos(wx) + Bsen(wx) Where: a, b, a,ß and w are nonzero real constants.
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...
Find the solution of the ordinary differential equation + ky = -2t cos 2t, d+2 dt subject to the initial conditions y(0) = y'(0) = 0, where k is a constant, with k > 4, k + 8.
(1 point) Find a particular solution for each differential equation y" + 3y = 5t, then yp = y" - y = 3et sin(t), then yp = y" + 4y = cos(2t), then yp =
(1 point) Find the particular solution of the differential equation + y cos(x) = 8 cos(x) dx satisfying the initial condition y(0) = 10. Answer: Y= Your answer should be a function of x.
Find the particular solution of differential equation -t du 2e dt at, initial condition, a 2(0)=1.