Solving IVP with ODE45: a=0.00001, b=0.25 & a=0.0002, b=0.10

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SUMMARY

The discussion focuses on solving an initial value problem (IVP) using MATLAB's built-in function ODE45. The specific equations to be solved are x'(t) = -axy, y'(t) = axy - by, and z'(t) = by, with parameters a and b set to two different pairs: (0.00001, 0.25) and (0.0002, 0.10). The user seeks assistance in implementing the ODE45 function correctly, indicating a need for code examples to achieve a numerical solution with a step length of 1.

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  • Familiarity with MATLAB programming
  • Understanding of ordinary differential equations (ODEs)
  • Knowledge of initial value problems (IVPs)
  • Experience with numerical methods for solving ODEs
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  • Review MATLAB ODE45 documentation for syntax and usage
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Students and researchers in mathematics, engineering, or computer science who are working on numerical methods for solving ordinary differential equations, particularly those using MATLAB.

mooberrymarz
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Hi! I have :eek: hand in an assigment in like four hours and part of it involves solving a IVP. We have to use the built in function ODE45. the system of equations are as follows.

x'(t)=-axy
y'(t)=axy-by
z'(t)=by

Use step length 1 and solve the ivp numerically for the following values of a,b
a=0.00001, b=0.25
a=0.0002, b=0.10

I know its easy but i can't get it to work. Please help me. :redface:
 
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Can you post your code so far, please?
 

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