Find the inverse Laplace transform of 720/(s-5)^7.
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- 3) Use the Laplace transform and the Inverse Laplace transform to solve the following initial value problem showing in the image.Open the 2π period f(x) = x3 function to the Fourier series in the range (-π, π). (Please help me about this.)A string stretched between the two points (0, 0) and (2, 0) is plucked by displacing the string h units at its midpoint. The motion of the string is modeled by a Fourier Sine Series whose coefficients are given by. Find bn
- please solve the z-transform for 5, 6 in similar way to the solved one above if that possibleYou want to find the Fourier series for the funtion tan(x) over the interval -2π to 2π. Will the Fourier series converge? Prove your answer quantitatively.Find the Fourier coefficients for the function of period 2π as follows: f(x)=2x, -π<x<π Thus obtain its Fourier series expansion.