Find the convolution results between f(t) and x(t): 1) Use graphical method. 2) Use Laplace Transform to validate your result in 1). f(t) 15 6 凹 x₁(t) 1 0 1 2 3_4t 0 1t
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- LAPLACE TRANSFORM APPLICATION (NEED A NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE)Find the Laplace transform of the following function. That is, determine coefficient H. f(t) = 6e^(-5t) +e^(3t)+ 5t^(3)-9 F(S)= (As⁵+ Bs⁴+Cs³+ Ds² + Es + F)/(Gs⁶+ Hs⁵+Is+Js³ + Ks² + Ls + M) A 0 B 1 C 2 D- 3Solving Differential Equation using Laplace transform: dy(t)/dt +2y(t)=3u(t) Initial condition y(0) = 0 Hello, I am doing some practice and I want to make sure I am doing this right while using the correct steps. Thank you for your time and help.
- Why we would want to use the Laplace transform. When can we employ it (think about conditions), and why is it beneficial? Please answer in detail with good reasons and type your answer. Do not copy..Derive the Laplace transform for the full-rectified waveform fFR (t) in figure 2 belowFind Laplace transform for x(t) in the following differential equations assuming zero initialconditions 12dx(t)/dt2 + 31dx(t)/dt+ 23x(t) = 1215d3x(t)dt3 + 13dx(t)dt= 31
- the inverse laplace transform for the following function: X(s) = (5s + 2)/( s2 + (5/2)s + 1 ) i need detailed steps on how to complete the inverse transform of the above problem. if you could also include notes on how to procede on future problems will be greatly appreciated.Sove differential equation using laplace transform: dy(t)/dt + 2y(t) = 3u(t) Initial condition y(0)=0 Hello, I am doing some practice and I want to make sure I am doing the process correctly. Thank you for your time and help.Can you solve this Laplace transform please? Thank you
- II. Use a table of Laplace transforms to find each of the following.1. f(t) = 4t2. f(t) = t23. f(t) = 3t2 + 5t + 24. f(t) = sin(5t)5. f(t) = cos(−3t)Hello. I am trying to solve this circuit applying laplace transform. Thank you for the help.By applying Kirchhoffs voltage law to a circuit, the following second order differential equation is obtained : d²i/dt² +9i =18 Where i us the current and t is the time. Use Laplace transforms to solve it, given the initial conditions i(0)=0 and di/dt (0)=3