Recent content by CremeBrulee
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Inverse Laplace transform with complex conjugate poles
I found A,B,C using partial fraction expansion of second order polynomial where 5/3 = 1.667 (from my earlier post) i.e. 1/s + (5/3)/(s^2 + 5/3s + 5/3) = A/s + (Bs + C)/(s^2 + 5/3s + 5/3) 5/3 = A (s^2 + 5/3s + 5/3) + (Bs + C) s 5/3 = As^2 + 5/3As + 5/3A + Bs^2 + Cs 5/3 = s^2 (A+B) + s...- CremeBrulee
- Post #3
- Forum: Calculus and Beyond Homework Help
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Inverse Laplace transform with complex conjugate poles
My books aren't clear at running through these inverse laplace transforms and this ones got me snookered. I'm trying to perform the laplace transform of: 1/s + 40/(24s^2 + 40s + 40) Factor out 24 becomes 1/s + 1.667/(s^2 +1.667s +1.667) Finding A, B, C A/s + Bs+C/(s^2 +1.667s...- CremeBrulee
- Thread
- Inverse Inverse laplace transform Laplace Laplace transform Transform
- Replies: 3
- Forum: Calculus and Beyond Homework Help
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Undergrad Finding coefficients in partial fractions with repeated and complex roots
Thanks for the replies everyone. This process seems really straightforward but I'm still having trouble...grrr. I do have a couple of questions: How do I determine how to correctly split up the equation ie what s term goes next to each coefficient A, B , C, etc? I tried the second...- CremeBrulee
- Post #5
- Forum: Differential Equations
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Undergrad Finding coefficients in partial fractions with repeated and complex roots
I am having trouble to find a straight forward method for finding coefficients using partial fraction expansion with repeated or complex roots. My study notes arent too clear so I am finding the differentiation method hard to follow for repeated roots. As for complex roots I can find the roots...- CremeBrulee
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- Complex Expansion Fraction Partial Roots
- Replies: 4
- Forum: Differential Equations
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Undergrad Partial Fraction Expansion with repeated roots
I'm having a bit of trouble with repeated roots myself but still not sure what to do with the s+4=as+2a+b to find a & b! Could anyone please explain? Thanks- CremeBrulee
- Post #4
- Forum: Differential Equations
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MATLAB Water rocket simulator in Matlab from user inputs
...failing miserably in a group with no interest!- CremeBrulee
- Post #7
- Forum: MATLAB, Maple, Mathematica, LaTeX
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MATLAB Water rocket simulator in Matlab from user inputs
Hi All, I have spent the weekend compiling the required formula for my simulation on the attached sheet . What has confused me is that the mass of the rocket and the flight duration are the given parameters and the required water mass and air pressure are the required parameters?- CremeBrulee
- Post #5
- Forum: MATLAB, Maple, Mathematica, LaTeX
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MATLAB Water rocket simulator in Matlab from user inputs
Hi, I have recently started a Matlab course and I have been given a task to write a simple water rocket simulator using function files and a main script. I really don't know where to start and feel over whelmed tackling such a huge task, not knowing anything about water rockets. I would...- CremeBrulee
- Thread
- Matlab Rocket Simulator Water
- Replies: 7
- Forum: MATLAB, Maple, Mathematica, LaTeX