Given the following differential equation, solve for y() if all initial conditions are zero. Use the...
Solve the following differential equation using the Laplace transform and assuming the given initial conditions. [Note: Laplace table is provided in the page 6] dt2 dt dix x(0) = 1 ; (0) = 1 dt
Relate to MATLAB and please do it by hand. Thanks 1. Given the following physical system described by the following differential equation. a. Solve for y(t), assume all initial conditions are zero. Use the Laplace transform approach. b. What MatLab command would you use to find the residues c. What is a residue? d. What command would you use to simulate and graph the step response? e. What is the purpose of the partial fractions operation? +12+3 32(0 dt dt...
differential equation with Solve the following given initial conditions using the Laplace transform. y" +Sy't by : 4 (t-1)-8(+-2) y 10) = -2 y 10) =5 and
Solve the following differential equation with given initial conditions using the Laplace transform. y" + 5y' + 6y = ut - 1) - 5(t - 2) with y(0) -2 and y'(0) = 5. 1 AB I
(#9) use the laplace transform to solve to given differential equation to the indicated initial conditions. where appropriate, write 'f' in terms of unit step functions. 8. y-4y 0, y'(0) = 0 = 0. v'(0) = 4 9. y"-4y'+4y t'e2', y(0) 1
Use Laplace Transforms to solve the differential equation with initial conditions. 16. y' + y=sin x, y(O) = 1.
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) =...
xtra points: Solve the following differential equation with initial condi- tion by using the Laplace transform method 3 y(0) =-1 dy dt (0) = 2
differential equations Use the Laplace transform to solve the given initial-value problem. y" - y' = e cost, y(0) = 0, y'(O) = 0 y(t) =
differential equations Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) =