(a) Find the Laplace Transform of f (t) = et sin 2t cos t (b) Find the inverse Laplace transform of 3s + 2 F(s) %3D 4s2 + 12s +9

Q: s- 1 2s2 + s + 6 1. Find the inverse Laplace transform of:

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

A:

Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

A:

Q: -3sT 1 The Laplace transform of t – u3(t) sin(at) is s2 (k) e s2 + 72°

A:

Q: (A) Find Laplace transform of the function: f(t)-t sin ( 21+5) cos(24-7) = 2t 2t (B) What function…

A: Given: A) ft=t sin 2t + π2 cos 2t-π2  Find Laplace transform of the given function. B)…

Q: Given an Transform of a function f(s). Find x equation L-(f(s)) = xLf (s - a)} where L^-1 is the…

A: To solve the Laplace and inverse Laplace equation using formulas.

Q: 3s – 2 Find the Inverse Laplace Transform of G (s) 2s2 – 6s – 2

A:

Q: (1- cos 2wt) where w is a positive constant WHAT IS THE LAPLACE TRANSFORM OF THIS?

A:

Q: 2s+3 5) Find the inverse Laplace transform of F(s) (s+1)(s²+9)

A:

Q: ) Find the Laplace transform of a) () = 3e- + 2 cos(t) – 5t/2 13. b) s(t) = t*e*

A:

Q: 2s -18 -as a function of x. 2 s*+9 Find the inverse laplace transform of -

A:

Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

A:

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

A:

Q: O d. t+e-2t 1 Find the inverse laplace transform of 3 O a. –1+t+e-t O b. 32 ++ O c. e 2 O e.…

A:

Q: 2s+3 Find the Inverse Laplace transform of F(s) %3D s²+4s+13

A: Formula Used: L{eat cos(bt)}=s-a(s-a)2+b2L{eat sin(bt)}=b(s-a)2+b2

Q: Q1) A: Find the Laplace transform : L{e-3t. sin3t} 1. 2. L{sin²t}

A: As we know that: L1=1sLeat=1s-aLcos(at)=ss2+a2Lsinat=as2+a2 We also know that the rule: If…

Q: 10. Find the Laplace transform of 10 cos Tt (1 < t < 2)

A:

Q: (A) Find Laplace transform of the function : f(t)=1 sin(2t+) cos(21-7)

A:

Q: 8 - 29 g2 – 4s – 5 Find the inverse Laplace transform of F(s) f(t) = ||

A:

Q: a) Find the Laplace transform of f (t) 3te" +e" sin(3) %3! b) Find the inverse Laplace transform of…

A: (a) Given - f(t)=3te2t+e-tsin(3t) we have to find the Laplace transformation of f(t) L[f(t)] =…

Q: The Laplace transform of f(t) = et-3 cos(2t – 6) u(t – 3) + e-2t(cos(2t) – 1)

A:

Q: 1. Find the inverse Laplace transform y(t)=L−¹[Y(s)] where (b) Y(s)-e-³s (25-3) $²-49

A: We will be using the formulas of inverse Laplace L-1{a·fs+b·gs}=a·L-1{fs}+b·L-1{gs} L-1{1s-a}=eat…

Q: 3s + 4 Find the inverse Laplace transform, L-1 ((s + 1)2.

A:

Q: -2s (s-3)e %3D Find inverse Laplace transform of F(s) = s +6s +13

A: 2) Find the inverse Laplace transform of F(s)=s-3e-2ss2+6s+13 as shown below. It is known that, if…

Q: 3s+4 The inverse Laplace transform of F(s)= 7+2 1S

A: We have to find the Inverse Laplace transformation of the function F(s) = (3s+4)/(s^2+2)

Q: Question 2 Find the inverse Laplace transform of -4s H(s) = - e

A: The solution is given as

Q: 2- Find the inverse Laplace transform of the these functions 3 (a)F(S) = S3 4s (b)F(S) s2 + 8 S - 1…

A: According to our guidelines, we are supposed to answer only first three subparts.Kindly repost other…

Q: 5s-1 JA function has a Laplace transform of F(s) : If this function is %3D s²-1 multiplied by e',…

A: The given Laplace transform is Fs=5s-1s2-1, if this function is multiplied by et. Calculate the new…

Q: 2. Use the Laplace Transform table to find Laplace Transform of a) f(t) = sin 2t b) f(t) = e-2t cos…

A: Solution-

Q: II B Find the Inverse Laplace Transform of the following function 10-4s F(s)=- (s– 2)²

A: Given the function

Q: -1.5s Find the inverse Laplace transform of G(s)- $(1+e+e+e15$ s(s+2) -2.2s

A:

Q: ) Find the Laplace transform of a) f() = 3e-24 + 2 cos(t)- 5t/2 13. b) f(t) = t'e*

A:

Q: Find the Laplace Transform of sin2t + cos2t. a. (s-2)/(s2-4) b. (s2+4)/(s+2) c. (s2-4)/(s-2) d.…

A: We know Laplace  transform of sin(at) is as2+a2 We know Laplace  transform of cos(at) is ss2+a2

Q: (a) (b) Find the Inverse Laplace transform of the function. 2s +3 5 F (s) + s² +4 s-1 s-7 s² + s-6 +…

A:

Q: 1: Find the inverse Laplace transform of the function: -2s3+12s2-8s- 4 F(s) = (s-2)2(s+ 1)s

A:

Q: Find the Laplace Transform of the functions 1. e-2t (cos t + 3 sin t)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: (a)Find the inverse Laplace transforms of F(s) = -2s3+9s²+88–12 %3D (b)Using the definition of the…

A: To find the inverse Laplace transform of the below function.

Q: 1. Find the inverse Laplace transform of (s – 2)e¬s s2 – 4s + 3* F(s) =

A: We have to use Laplace Transform Table here.

Q: Find Laplace transform of the function: f(1) = sin 21(et cosh 41+ cos(x + 1))+1(2 cos 31+1'e¹) 11.00

A:

Q: 3s+7 B. Find the inverse Laplace transform of F(s) = s(s+1)(s-3)

A:

Q: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

A:

Q: -2s + e F(S) = 1- 2e (s² + 4) (s)

A: Solution is given in the form of hand-written note.

Q: a) Find the Laplace transform of f(t) = e-24 1² + e-2 V(1 – 2). b) Find the inverse Laplace…

A: Use the following formulas to calculate the Laplace transformation.…

Q: QUESTION 2 Find the inverse Laplace transform of 3s+8 F(s) = s2 + 2s+5 O A. e-(3cos(t) + 5sin(t)) B.…

A:

Q: 2s-3 Find the inverse Laplace transform of F(S) = e-s s2+2s+10,

A: Here we use partial fraction and got :

Q: (ii) -2t L[e Find the Laplace transform of sin2

A:

Q: 14. Find the inverse Laplace transform of a) F(s) 2+1 s+25 b) F(s) S(-3)

A:

Q: 1. Find the Laplace transform of the function: f(t) = f(t)= e" coshn(116) -11 Sin3 (E) + I sin (116)…

A:

Q: Find the Laplace transform of (e^2t)(cos3t)t

A: Given: (e2t)(cos3t)t

Q: Find the inverse Laplace transform of 2s+1 a) F(s) = s²+25 7 b) F(s) s(s-3)

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.