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- Fill the spaces please. Consider the function F(s)=2s+4/((s^3)-3(s^2)+3s-1) Find the partial fraction decomposition of F(s): 2s+4/((s^3)-3(s^2)+3s-1)=................+................... Find the inverse Laplace transform of F(s). f(t)=(L^-1 ){F(s)} = .................DIfferential Equations: Find the decomposition of the given rational function into partial fractions over R. (9s)/(s^2+ 1)^2(s^2+ 4)Pls answer all three parts it is one question a)Find the Laplace transform of the given function g(t)= {0, 0 < t < 4 (t-4)^2, t ≥ 4 b) Find L^-1{1/(s-1)^2 using concolutions. c) Find L^-1{1/(s-1)^2 using partial fractions.
- Find the inverse transform,decomposing into partial fractions. The expression is in the attached image.Heaviside function laplace transform and inverse Laplace transform. Evaluate the followingUse laplace transformation to solve the following differential euqations. Show all the steps (including partial fraction or complering square ) when finding inverse laplace transformation. Do not use computer to slove this . How all the steps. refer to the number in the laplace table (which can be found on google) that you are using . y''-y=g(t),y(0)=0 and y'(0)=0