The Laplace transform of L(sin 5t sin 3t) is 1 2 s2 + 22 g2 + 82 2 s2 + 22 s+ 82 2 g2 – 22 s2 + 82 s2 + 22 s2 + 82 The integrating factor of Linear differential equations dy + 6x + xy = 5 + 6x is_ da O 11 e 2

Q: Find the laplace transform of x(t)=tcosh(6t) Select the correct response: (s^2 + 36) /[(s^2 -36 )^2]…

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Q: What is the Laplace transform of sint cost? 1 OF +4 O O O 1 s+2 1 2t+2 1 2s+4

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Q: Q2/ find Fourier transfam 29

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Q: Determine the inverse Laplace transform of Fisi= (s+1)(s+2)

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Q: Q1\ Find the Z-transform of A) cosh 2

A: The given question can be solved as shown in step2.

Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Find the complex fourier Intergral Representationn of 0, x 0

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Q: Construct a truth table for the following statement. .... Complete the truth table. b. --- d-vb- T.…

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Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

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Q: Example F Taking the z-transform of each term of the second-order equation Yk+2 +a1Yk+1+a2Yk = Rk…

A: Let us consider the second order inhomogeneous difference equation  yk+2+a1yk+1+a2yk=Rk…

Q: Find the Laplace transform for -4 f(t) = e'sin2t + e¯'cost 2 s + 1 2 s + 1 + s + 2s + 5 s - 2s + 2 2…

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Q: z'+3z Find the inverse Z- transform of (z-1)°(z² +1)

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Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Laplace transform a. L- (¹) 48 b. L-¹ { 1/2-) S5 C. 1 L-1 (2435) s²+3s. :-1 (432 +1} d. L-1

A: We have used standard formulae of Laplace transform.

Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

Q: Ⓒ Last + 3 sin4t4 3 2 h + ²³ - t ² + 5 + ² 2 4t -3t - 13 & 13ett - 5e³t}

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Q: La transformada de Fourier de x(t) = e2t * u(- t)

A: A Fourier rework (FT) is a mathematical rework that decomposes capabilities relying on area or time…

Q: Solve for the inverse Laplace Transform of 8 F(s) 53 - 3s2 – 4s 8 f(t) = – 2t + 2 a. + te4t Ob. 8…

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Q: -2sin4t Determine the Laplace transform of the equation f (x) = 2 e´ 10 A s²+4s+20 8 B s²+4s+ 20 20…

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Q: Q5/Determine the Laplace inverse transforms of 3s+s+12s +2 (s -3)(s+1)

A: Please see the explanation below

Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: O O 0 -1 -3s -3se-3 s²(1 − e^³ª) [−3se¯³ª − e ³ + 1] -3se 3-³-1] $²(1-es) -3se $² (1-3) -3se ³³ + e…

A: To determine the Laplace transform of the below periodic function. ft=−t,    0<t<3,    ft+3=ft

Q: What is the inverse Laplace transform of 4s/(s^2+16) - 36/(s^2+16)? 4s 36 s²+16 s²+16 4cos(4t) -…

A: Here we have to find the inverse Laplace transform of  4ss2+16-36s2+16

Q: 1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following…

A: 1. given  distance = 85km so as we know  velocity = distance/time Hence Answer: a.  v(t) = 85/t

Q: Determine the inverse Z-transform of X(z) Select one: akt xk = = (-2j) sin( 2 (2a)k-1 sin (47) 2 xk…

A: Inverse Z transform of the function

Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

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Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64…

A: We need to find Laplace transform of sin8t+116π Here we will us the following formulas-…

Q: Use a cosine Fourier expansion, as u(x,1) = u,(0) +E, (1) cosnx, to solve =e' cos2x in (0,1)×(0,+0),…

A: Given ux,t=u0t+∑n≥1untcosnπx∂u∂t-∂2u∂x2=etcos2πx  in 0,1×0,+∞∂u∂x0,t=∂u∂x1,t=0, t>0ux,t=x,…

Q: Determine the Laplace transform of (1+2)' -e +sinht 3 -St te st

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Q: t2, 0 2

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

Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

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Q: Ans : Z 5) uck)

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Q: oくくく 1.

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Q: dy - y(xy' 1) 2. Sove dx %D

A: The general form of  linear differential equation of first order is, dydx+Py=Q, where P and Q are…

Q: sx 14-X Find the Fourier transform of function f(x) = , 0<x< 14 14 < X <16

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: Solve for the inverse Laplace transform of st+3s"+s? 01+3t + 2t2 O 2+6t- O01+3t + t? O1+3t + 3.

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