y"+y=f(t), y(0)=y'(0)=0 Cycle=T=2n, Find the Laplace transform of f(t) and determine y(t) below pictures mean f(t)graph and solving hint f(t) T-2 1 1+x f(t + 2n) = f(t) TT 3π 12 2TT Σ(-1)¹x¹ n=1

Q: y''+y'=0 where y(0)=0, y'(0)=1 laplace transform of derivatives

A: Given that:-  y" + y' = 0 and y(0)= 0, y'(0) =1 We find laplace transform of this differential…

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

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Q: Calculate the derivative of t2 -k 3 - t F(t) = cos(t) i + 3e2t+2j + |

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Q: Using convolution property of Laplace Transform, solve for y(t) of the following: 1) y(t) = e-3t*…

A: Given that     yt = e-3t * t e3t                   Let  gt = e-3t  and  ft = t…

Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

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Q: Part A how that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: Hi, It is multiple sub-parts, I am going to solve the first part only.

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Q: Part A) How that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

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Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: Y(s) = %3D

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Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

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