Find the Laplace Transform of t^(2)e^(-2t)cos t

Q: 5 sin [ -5TT X<ST %3D otherwise

A:

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

A:

Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

Q: Solve equation using Laplace transform ÿ + 9y = 8 (t -) |sin(t), y(0) = 0, ý(0) = 0

A: Formulae:  1. Lf(t)δ(t-a)=e-asf(a) 2. Lf''(t)=s2F(s) - sf(0)-f'(0) 3. L-1e-asF(s)=H(t-a)f(t-a),…

Q: tan(x+1) Find y' of y =

A: y=tanx+1x

Q: NO i need it to be the Fourier transform as X(jw). Dont use this as s tranfer functions  I dont…

A: Let us go through the subpart (b) whose integral to be evaluated is .The graph of the function with…

Q: Q4 B) Find y' for the functions cos(xy) + 3*+cos ly+ In(xy) + log-7 dy

A:

Q: 2) b) x(t) = 3tetu(t)

A:

Q: find y'. (show all the steps please) cos(xy) = x-y^2

A:

Q: using laplace transform find Y(s) for y" - y = sin t for y(0) = 0

A:

Q: solve: y" - Hý + 4y = 4szt; y(0)=2₁ y(a)=5 using Laplace transform

A:

Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

A:

Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

A:

Q: * In this problem you will derive the formula for the Laplace transform of the second derivative of…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). To find…

Q: 5 sinh (3t) +4 cosh (3t)

A:

Q: A dilation T sends A = (2,3) to A’ = (5,4), and it sends B = (3,−1) to B’ = (7,−4). Where does it…

A: We have, A dilation T sends A = (2,3) to A’ = (5,4) and it sends B = (3,−1) to B’ = (7,−4) Where…

Q: Since (7t^2) *e^(mt) - (7t^2) *sinh(at) = (t^2)(7e^(mt) - 7sinh(at)) What should you take the second…

A:

Q: Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

A: First recall the definition of Fourier transform and inverse Fourier transform of a  function The…

Q: Consider the initial value problem for function y given by, y" - 3y + 2y = - 8(t-3), y(0) = 0, y'…

A: Given differential equation: We have to solve the given differential equation.

Q: Page of 7 ZOOM dy + 25y = 10 cos 5t, y(0) = 1, dt2 y' (0) = 0 You may use the Laplace Transform…

A:

Q: Jse the Chain Rule to find and 0z when z = exy sinx,x = 2s and y = s +t as at

A:

Q: 1. Find the laplace transform of 2e^(3t) sin 4 t 2. Simplify i²⁹ + i²¹ + i 3. Write in the form a…

A:

Q: 24) The root-mean-square of an oscillating function with period T is Yrms = 1 y²dt Find the…

A: ###(24)To find the root-mean-square (RMS) current from  t = 0  to  t = 0.5  seconds for the given…

Q: (T/2 1 1- 4 (a) Compute 3 Simpson's rule.

A:

Q: Find the Fourier transform of the function y(t) if y(t) satisfies the differential equation dy dt3…

A: The given differential equation isd3ydt3-6dydt=30tπ25+t22To find:The fourier transform of the…

Q: determine the laplace transform of the functions 1.  24x^6

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Solve differential egualions by using laplace transform fCW)-5)'(x)+6f(x)=0 where for-o and flo)=1.

A:

Q: Which of these functions (or none of them): satisfies the equation (1) z=e" (y cosx-xsin y) or (2)…

A: