Solve using Laplace transform (y(2) – 10y(1) + 9y = 5t (b) y(0) = -1, y()(0) = 2 %3D %3D

Q: use laplace transform to solve y'-y=2cos(t), y(0) = 4

A:

Q: Solve using the Laplace transform y' - y = et , y(0) = 2

A:

Q: Solve x"(t)+3x'(t)+2x(t) = u(t - 2), with x(0)-0 and x'(0)-0 using the method of Laplace transform.…

A:

Q: 3e-2t, where x(0) = *(0) = 0 Q2. Find the response of a system * + 5x + 6x = a. Obtain the transfer…

A:

Q: Use the method Laplace transform to solve the following. (a) 2r' + 7r=3e-t, x(0) = 4. (b) 2r' +…

A:

Q: Solve the problem by the Laplace transform method: y"(x) + y(x) = 4ex, y(0) = 0 & y′(0) = 0

A:

Q: Use matrix to solve for X(s) and Y(s) in the equations below and find the laplace transform of X(s)…

A: To solve the given problem Simplify for X(s) and Y(s)  Using inverse laplace transformation solve…

Q: Find Y(s) is the Laplace transform of Ay" + By' + Cy = e2 given that y(0) = y'(0) = 0 %3D a. Y(s) =…

A:

Q: Consider the IVP y''-y'=-30e3tcos(t), with y(0)=1, y'(0)=-12. Take the Laplace transform of both…

A:

Q: using Laplace transform. S=10h 'T=coh Ft = ht+by - banjos (8)

A: The given differential equation is:y''-4y'+4y=4cos2t;  y0=2,  y'0=5. We have to solve using Laplace…

Q: By using Laplace transform; solve d3x d²x dx =1-13x dt +5 +17 dt3 dt2 x(0) = 1, x'(0) = 1 and x" (0)…

A:

Q: Use Laplace transform technique to solve y+2y +2y=e"! y(0) = -3, y (0)= -3

A: Solution: The objective is to find the solution of the given differential equation using Laplace…

Q: Use Laplace transform technique to solve y +2y +2y= e-, y(0) = - 4, y'(0) = - 2

A:

Q: F(t)= t2 sin2t u(t)   F(s)= ?   laplace transform

A:

Q: Laplace transform of f(t) = e(4t-8)cos3(8t)

A:

Q: y''+9y=10e-t,y(0)=0,y'(0)=0 by laplace transform

A: The objective of this question is to solve the given second order differential equation using…

Q: y′′ − y′ − 6y = 0 y(0) = 11 y′(0) = 28 find laplace transform explain all steps

A:

Q: Solve the shifted data IVP by the Laplace transform method showing your work in details.…

A:

Q: The function x(t) satisfies the ODE with initial conditions x(0) = 0, x(0) = 0 and X(s) = (a) Find…

A:

Q: Solve the given initial-value problem. The DE is homogeneous. xy2 dy = y3 – x³, y(1) = 4 dx

A:

Q: Exercise III Use the method Laplace transform to solve the following. (a) y"-10y +9y = 5t, y(0) =…

A: a)

Q: Laplace transform of x(t) = cos(4f)u(t) %3D 16 X (s) = s* +16 4 X (s) = s* +16 X(s)D s? +4 X(s) = s´…

A:

Q: Solve the IVP using Laplace Transform y" = y + 2y, y(0) = -2, y (0) = 3.

A:

Q: (b) Given f(t) = sinh(-4t)U(t – )and g(t) = sinh(-4t) * U(t – ) %3D where U(t - a) is the unit step…

A: The solution is given as

Q: Gcs) = 263s +2308 S³+ 325² + 5535 + 4102 3

A: The Laplace transform is a mathematical operation that transforms a function of time f(t) into a…

Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…

A:

Q: Using Laplace transform, solve y"+25y=t, y(0)=1 and y'(0)=0.04

A: Given that, y''+25y=t, y(0)=1, y'(0)=0.04 The laplace transform for, Ly''=s2y(s)-sy(0)-y'(0)Lt=1s2…

Q: Find a function f(x) whose Laplace transform is e-3p p² +25 You should find f(x) = K sin(R(x -…

A:

Q: x' + æ = 9+ 5(t – 2), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} help…

A: Given that, x'+x=9+δ(t-2),x(0)=0 To find the laplace transform for the given equation, Take,…

Q: Find the Fourier transform of (а) f (г) %—D еxp (-ах?), () f (») — еxp (-а \x),

A: To find the Fourier transform of the below functions. fx=e−ax2 fx=e−ax

Q: Given x(t) = 5te-3 u(t), what is the Fourier transform of x(t)?

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…