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need help please 1) Solve the differential equation -sin (20) cos (3) dt Find the particular...
1) Solve the differential equation -sin (2) cos (3) dt Find the particular solution that solves the IVP y) =
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
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.
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...
sin x 2. Solve the differential equation dx X Find the particular solution if y 1 when x = pi/2 +
3. (20 points) Find the solution to the differential equation y sin(y) dx + x(sin y - y cos y) dy = 0
find the general solution of the differential equation by using the system of linear equation. please need to be solve by differential equation expert. d^2x/dt^2+x+4dy/dt-4y=4e^t , dx/dt-x+dy/dt+9y=0 Its answer will look lile that: x(t)= c1 e^-2t (2sin(t)+cos(t))+ c2 e^-2t (4e^t-3sin(t)-4cos(t))+ 20 c3 e^-2t(e^t-sin(t)-cos(t))+2 e^t, y(t)= c1 e^-2t sin(t)+ c2 e^-2t(e^t-2sin(t)-cos(t))+ c3 e^-2t(5e^t-12sin(t)-4cos(t))
(1 point) Solve the following differential equation: (tan(x) 8 sin(x) sin(y))dx + 8 cos(2) cos(y)dy = 0. = constant. help (formulas)
need help please
2) a) Solve the IVP using either variation of parameters or integration factor. Clearly indicate what the varying parameter is if you use variation of parameters or what the integration factor is if you use that method. Also, indicate the general solution to the homogeneous equation. dy 1 dt sin(t) – y, y(0) = 2 b) Draw the direction field and draw in the graph of the particular solution that you found.
Solve each differential equation. (Don't use the Laplace transform. 3. IVP: y + cos(x + y) + (x – y + cos(x + y)) = 0, y(0) = 7. If the equation is exact equation, then solve it. If not, find only an exact equation.