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plz short respsonse Describe the basic idea behind Euler’s Method. Compare this with the Improved Euler’s Method -...

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plzshort respsonse

  1. Describe the basic idea behind Euler’s Method. Compare this withthe Improved Euler’s Method - in what way is it an improvement?Finally, compare both these methods with the Runge-Kutta method -what is the difference, and why does Runge-Kutta give more accurateresults?

  2. Why would we choose to use one of the numerical methods, instead ofsolving the differential equation to obtain an exactanswer?

  3. What is the characteristic equation? What is the connection betweenthe characteristic equation and the original differentialequation?

  4. What is the indicial equation? What is the connection between theindicial equation and the original different equation?

Answer & Explanation Solved by verified expert
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Basic idea behind euler method euler method is a numerical method to solve first order first degree diffrential equation with a given intial value it is the most basic explicit method for numerical integration of    See Answer
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