Please solve using eigenvalues and vectors (Please do not use laplace transforms!) Please show all steps neatly and in detail, will rate quickly!
Please solve using eigenvalues and vectors (Please do not use laplace transforms!) Please show all steps neatly and in detail, will rate quickly! 7. Find all the solutions to the following system of...
PLEASE ANSWER 2C .PLEASE SHOW ALL STEPS AND WRITE NEATLY Question 2 Determine the unique solutions of the following differential equations by using the Laplace transforms: a. y" – 4y = 4 t, subject to y(0) = 0 and y'(0) = -1. (7) b. y" – 4y' - 5y = 28(t - 2), subject to y(0)=-1 and y'(0) = 0. (8) C. y" + 2y' – 3y = e-3(1-2)u(t – 2), subject to y(0) = 1 and y'(0) = 1....
Solve the system of equations with Laplace Transforms: (differential equations) all parts please Solve the system of equations with Laplace Transforms: x' + y' = 1, x(0) = y(0) = x'(0) = y'(0) = 0. y" = x' Let X(s) = LT of x(t) and Y(s) = LT of y(1). First obtain expressions for X(s) and Y(s) and list them in the form ready for obtaining their inverses. a. Y(s) = X(s) = %3D b. Now obtain the inverse transforms....
please show all working out 7. Use Laplace transforms to solve the given differential equations f. 2+2y 3e* cos 2x, given y(0) 2 and y' (0) -5
use Laplace transforms to solve the given system of differential equations ponts) 6)) Use Laplace transforms to solve the system dc y = 2x-2y dt.dt dx _ ay = x - y dt at x(O) = 1, y(0) = 0
K1=10, k2=7. Please do both 3) Using Laplace transforms, solve the following differential equations with the initial conditions indicated. Sketch the resulting functions of time dy 0, with y(O) - k2 bk2)+ kik20, with z(0) - 0, t( 2 dt2
Please help solving all parts to this problem and show steps. (1 point) Use the Laplace transform to solve the following initial value problem: x' = 5x + 3y, y = -2x +36 x(0) = 0, y0) = 0 Let X(s) = L{x(t)}, and Ys) = L{y(t)}. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for YS) and X (s): X(S) = Y(s) = Find the partial fraction decomposition of X(s) and...
Sheet1 Control 1. Solve the following differential equations using Laplace transforms. Assume zero initial conditions dx + 7x = 5 cos 21 di b. + 6 + 8x = 5 sin 31 dt + 25x = 10u(1) 2. Solve the following differential equations using Laplace transforms and the given initial conditions: de *(0) = 2 () = -3 dx +2+2x = sin21 di dx di dx di 7+2 x(0) = 2:0) = 1 ed + 4x x(0) = 1:0) =...
Hello, The instructions for this problem is: Use Laplace Transforms and Inverse Laplace Transforms to solve the following three system of differential equations. x' (t) - x(t) + 2y(t) = 0 - 2 x(t) + y'(t)- y(t) = 0 x(0) = 0; y(0) 1 4
please write neatly Solve the initial value problem using Laplace transforms. y = 2y + 12e-4, y(0) = 7.
Need help with this: Solve the following system of differential equations by using Laplace transforms. with x(0) = 0, x'(0) = 2, and y(0) = 0. Thank you for your time and help! dr 22 +3 + 3y = 0 d2dt dx2 + 3y = tet