Determine an appropriate Green's funetion either by using the method of variation of parameters or otherwise,...
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 = sin(t) – y, yco) = dt b) Draw the direction field and draw in the graph of the particular solution that you found.
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.
(16 pts) Use either the method of undetermined coefficients or variation of parameters to find a particular solution yp of the equations:
Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x, using the following values. 1-1831)[ 9
Question 14 Use the method of variation of parameters to find a particular solution using the given fundamental set of solutions {x1,x2}. x′=(−10−1−1)x+(−25t), x1=e−t(01), x2=e−t(−1t) (Enter the solution as a 2x1 matrix.) xp(t)= Question 14 Use the method of variation of parameters to find a particular solution using the given fundamental set of solutions (xi,x2 (Xi, X2l x'=(-1 0 1-1 (Enter the solution as a 2x1 matrix.) Xp (t) =
1. Use the method of variation of parameters to find a particular solution x, using the given fun- damental set of solutions {x1, x2}. *= ( = -1)x+(%) x1=e*(), x=e*(+)
Using the method of Variation of Parameters (Equation-34 on page 349), find the general solution to the system y'=-2(z + v)-2(t2-t+1)e-t assuming an initial conditionェ(to) 20, for some given vector zo. Using the method of Variation of Parameters (Equation-34 on page 349), find the general solution to the system y'=-2(z + v)-2(t2-t+1)e-t assuming an initial conditionェ(to) 20, for some given vector zo.
In Problems 1-6, use the method of variation of parameters to determine a particular solution to the given equation 1. y" - 3y" 4y In Problems 1-6, use the method of variation of parameters to determine a particular solution to the given equation 1. y" - 3y" 4y
Find a general solution to the differential equation using the method of variation of parameters. y'' +10y' + 25y = 3 e -50 The general solution is y(t) = D.
Find a particular solution to the following differential equation using the method of variation of parameters. x2y" – 9xy' + 16y = = x?inx