Q7. Find the Laplace transform of the periodic function f(t)= sin at for 0

Q: f(t) = sinhtcost

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Q: 324y/" – 180y' + 25y = 0, %3D y(0) = 8, y'(0) = 5. y =

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Q: sec x=1/5 on [0,2pie)

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Q: Use the definition of the Laplace transform to find L{cos(at)} where a is a constant. You must use…

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Q: ind the Laplace transform of the periodic function f(t) = 50=[²₁ 1 for 0<t<2 for 2<t<4

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Q: Consider the following ODE y' = y+t/y+1 Which kind of ODE is ?

A: Given ODE is y'=y+ty+1. Simplify y'=y+ty+1. ⇒dydt=y+ty+1⇒y+1dydt=y+t⇒y+1dydt−y=t..........1 Since,…

Q: Q1: Find Laplace transform for the following functions 4) f(t)=t sinh(at)

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Q: 7. Evaluate y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: Use the intermediate Value Theorem to show that between x = 0 and x = 1, the function f(x) = 3 sinh…

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Q: L Find the Laplace transform F(s) = {f(t)} of the function f(t) = et-2h(t-2), defined on the…

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Q: Find the cosine transform fe(w) of f(x) for f (x) = -6 if 0 2. f.(w) %3D

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Q: 3. Compute the first four derivatives of f(x) = sin r + cos r. Try to find a pattern and guess the…

A: we have to find the first four derivative of f(x)=sinx + cosx and then we have to find the n-th…

Q: 2a. Determine the solution of the following problem using the concept of derivative and integral…

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Q: t も c6 10. XCt)> { -8 + -8 t ct-6)? » t >6

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Q: Use differentiation in time domain to solve the the Laplace transform: y"-y'-6y=0; y(0)=6, y'(0)=13

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Q: g (t) = tsin (nt)

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Q: f(t) = when 0 k

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Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2).

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Q: 1.a Find the Laplace transform of the function F(t) = e-2t (cosh 3t + sinh 5t)

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Q: when 0 k

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Q: Use differentiation in time domain to solve the the Laplace transform: y"+7y'+12y=21e³t; y(0)=7/2,…

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Q: 11. What is the Laplace transform of the function below? L{(cost)H(t – 6)}

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Q: f (t) = cos² (πt)

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Q: Find the Laplace Transfomr of the periodic function f(t)=e^t for 0 < t < 2pi

A: Given periodic function ft=et for 0&lt;t&lt;2π

Q: Qi Write the order and degree of the given. ODE'S.check either these equations aye nón-linear. Also…

A: Consider the given function. y''+x2y-2y'=sinx As the maximum order of the derivative is 2.  So, the…

Q: f(t) = (+ 1. Find the forier tansform of F(1) = (+) for t >0 %3D 3

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Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

A: Fourier inverse of XΩ=1    -π≤Ω≤π0    otherwise is : F-1XΩ=12π∫-∞∞XΩejΩtdΩ…

Q: V1) Use the definition of the Laplace transform to find L{f(t)} given 3, 0<t<3 f(t) = t, %3D t2 3

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