5- Fit)= b Uct-a) -2b4lt-29) + bu(t-34) %3D Laplace transform

Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

A:

Q: Use Laplace Transform to solve यु y=4e ーt %3D given ylo)= 2 and u lo) = -l

A:

Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t? is: %3D

A: Note the following results : Lcos at=ss2+a2  Leat=1s-a Ltn=n!sn+1 ; n=1,2,3,…… Linearity property…

Q: The Laplace transform of L(5t5 + 7e 5t + 5e3t) is

A: I have written the formulae required for solution.

Q: The Laplace transform of f (t) = 2 sin(2t) – 7e-3t + t2 is:

A:

Q: solve by using Laplace Transform y"-10y'+9y=5t, y(0)=-1, y'(0)=2

A: Use Laplace table.

Q: Kt<7

A:

Q: Find the laplace transform of f(t) = 2t¹-3e³t+10 cos 2t

A: Given that,  f(t)=2t4-3e3t+10 cos2t

Q: Under the gauss transform, find the image of the cylinder surface with equation R1<+R2<=4

A: Given: To find the image of the cylinder surface with the equation R12 +R22 = 4.

Q: The Laplace transform of f (t) = e2t sin(7t) + te-3t is: %3D

A: We need to find the Laplace transform of the equations

Q: Use the Laplace Transform operator to find the Solution of the IVP, 3y + 5y- 2y = 4x°. y(0) = 0 У…

A: Given 3y''+5y'-2y=4x3  y(0)=0  y'(0)=0Taking Laplace Transform on both sideL(3y''+5y'-2y)=L(4x3)…

Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

A:

Q: 3 Find the laplace transform ofe¹t²+ e²t (2cos 3t). 16

A:

Q: Find the Laplace transform of h(t)=-tcos5t-3u(t-5)cost

A: Given: ht=-tcos5t-3ut-5cost We know, Lft=∫0∞ftdt ut-a=1   if t&gt;a0   if t&lt;a Ltnft=-1ndndsnLft…

Q: Find the Laplace transform of 6t - 5te+5. L{6t- 5te ¯' + 5} = %3D

A:

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

A:

Q: Find the laplace Transform of the followng: Calffax) => + cos 2x + 2e 6ih (t) --2sinh(et) + Sin(3t)…

A: The solution is given as

Q: Under the gauss transform, find the image of the cylinder surface with equation R12+R22=4

A: Given: R12+R22=4

Q: solve , Use Laplace transform technique to y"+2y'+y = 4e given y(0) = 2 and y'(0) = -1

A:

Q: Solve the Laplace transform of: 4e-6t + 2et + 8

A:

Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

A:

Q: Find the Laplace transform of the following: 2y+3y"-23y - 12y = 5t-7, y(0) = 0, y'(0) = 0, y" (0) =…

A:

Q: f(t) = e-2t-e-3t %3D t

A: The given function is                                           f(t)=e-2t-e-3tt To find the Laplace…

Q: Given the IVP: y" - y'-6y = 60, y(0) = 0, y'(0) = 5. %3D Use the Laplace transform to find Y(s).…

A:

Q: f (t) 7t2 te-4t

A:

Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

A:

Q: Find the Laplace Transform 1.ft'est 2.[5sinh3t 3.[t - 8t2 + 1

A:

Q: Find the laplace transform of (a) f(t) = 4t3 – 2t2 + 5 %3D (b) f(t) = tcosh2t + t?sin5t + t3

A:

Q: Find the Laplace transform of the equation: 7(t*5)-le^(-6t)]cos(4t)+8sin(3t)-10 SimplifuLancwor

A:

Q: What is the Laplace transform of: f(t)=5t+18+41²H(t-6)?

A: We have to find Laplace transform of given function.

Q: Solve by the Laplace transform, showing the details y" + 10y' + 24y = 144r², y(0) = 19/12, y'(0) =…

A: The given initial value problem is y''+10y'+24y=144t2, y0=19/12, y'0=-5. Take Laplace transform on…

Q: I t los 2t e-を

A:

Q: fCt) = 3e 4t CI- 3t + 2t 2)

A:

Q: The Laplace transform of f (t) = 5cos (7t) – 7e2t + 2t³ is: %3D

A: Given- ft=5cos7t-7e2t+2t3 To Find- The laplace transform of the above expression.

Q: 2. Find the Laplace Transform of b. f(t) = 4t²e-2t sin2t

A:

Q: y(t) = 5e2 cos(3t) + te-3t %3D

A:

Q: a. Find the Laplace transform of f(t)=2e¯ cosh7t +te“ +12– cos9t cos 2t + (5t – 7)².

A:

Q: find the fourierSevies of the Per jodic hunctio n de fined as fw =\ x+11+ |X-1 | %3D

A: Given function is f(x)=x+1+x-1, -π&lt;x&lt;π The above function can be written as f(x)=-(x+1)-(x-1),…

Q: e3t (42 + 4)

A: To find : The Laplace  Transform of   e3t ( t2 + 4 )

Q: Use a Laplace transform to solve y" + 16y = 6 (1 –).y(0) = 1, y'(0) = 0. %3D 4

A:

Q: O Find the Laplace transform of e³ + 2tª – 4 cos 8t + ez + Vt3

A:

Q: Give the solution of ODE by using Laplace transform method; y' + 2y = 2 e2t ,y(0) = 0 %3D

A: Properties of the Laplace transform  Lf'(t)=sF(s)-F(0) L-1n!(s-a)n+1=tneat Leat=1s-a

Q: Sole the IVP using the method of laplace transforms.   w''-10w'+25w=25t+140   w(-2)=1   w'(-2)=-12

A: According to the given information it is required to solve the initial value problem using laplace…

Q: Find the laplace transform of f (t) = 2t1 – 3et + 10 cos 2t %3D

A: We will use property and tables of laplace transformation

Q: Compute the Laplace transform of 10 + 5t + t2 – 4t3

A:

Q: 2 y(t) = 5e-5t 3 -4t

A:

Q: Find the Laplace transform of f(t)= e^−3t(2cos5t−3sin3t).

A:

Q: Find the Laplace transform of + 2 cos(t) – 5t3/2 a) f(t) = 3e-2t

A: L(f(t))=L(3e-2t+2cost-5t32)L(f(t)) =L(3e-2t) + L(2cost) +L(-5t32) L(f(t))=3L(e-2t )+2L(cost)-5L(t32)…

Q: 3. f (t) e2t cos 5t – 3t3 -

A: Note:- 1.   Ltn  =n!sn+1 2.  Lec t cosdt  = s-cs-c2 +d2   Given function is ft = e2t cos5t -3t3

Q: Find the laplace transform of F(t)= 2t^4-3e^2t+10sin3t

A: