6. use Lapiace Transform to solve the lmitial valwe problem: y" +y = hlt) , ylo) = 2, y'lo) =0 where -4t 18TT, Olt L2H ht) o,

Q: 5. Use the laplace transform to solve the. definite solution problem S Ut - αlx =0, x>0, t>o uro, t)…

A: Given: utt-a2uxx=0, x>0, t>0u0, t=cost, t≥0 . . . iux, 0=utx, 0=0, x≥0  . . .ii ux, t is…

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

A:

Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

Q: 4) Using Laplace transform to solve y" + 9y = cos³t, yco)=1, y'co)=5 Hint: ду Lr sinkt + Ktcoskt}…

A:

Q: ナ+sy'+by =4et も

A:

Q: Solve Laplace Transform of staircase problem

A: Formulae to be used: Laplace of function f(t) is: L{f(t)}=∫0∞f(t)e-stdt. 11-x=1+x+x2+x3+...

Q: What is the Laplace Transform of e^t?.

A: To find the Laplace Transform of et  L(et)   By definition, L(f(t)) = ∫0∞ e-st  f(t)  dt

Q: 6. Let f(x,y) = sin(x + y) + arcsin (xy) a. Find the linearization L(x,y) at the point (0, ")

A: We have to find linearization of given function f(x,y): Concept: The linearization of a function…

Q: Let g(s,t) = As" - cost, cost -s"), which of the following is true? O A. -sint- + 11s10. O B. 11s10…

A: given g(s,t)=f(s11-cost,cost-s11)x=s11-cost,  y=cost-s11differentiate partially g w.r.to s and…

Q: Use Raplace Transform to Solue y?+3y'+2y=DUglt) O and %3D guen ylo) =0 y'l6)=1 %3D

A: Use Laplace table to solve this.

Q: infinty use L.23 and L32 of Laplace Transform Table to evaluate Ţ [t] (2t). dt. 0

A: The integralThe Laplace transform of the function f(t)Now, from the Bessel function of the First…

Q: By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: Use Laplace transform to solve IVP shown below: у" — 5у' + бу %3D2tet - Зet | У (0) %3D 1, у'(0) %3…

A: Given y''-5y'+6y=2 t et-3et, y(0)=1,  y'(0)=-1   To Use Laplace Transform to solve the given IVP

Q: Use Laplace transform to solve the intial value problem.

A: We are given the differential equation,

Q: Use Laplace Transform to solue y' +zy y=4et %3D given ylo)"= 2 and y'lo). y'66)=-1 %3D

A: