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Let M be the integer corresponding to the first letter of your last name. For example, if your last name begins with A, M=1 and
Let M be the integer corresponding to the first letter of your last name. For example, if your last name begins with "A", M=1 and if your last name begins with "Z", M=26.
Let k=1/M and consider the logistic equation dy/dt = k y (M - y). Take M=2
Construct a single figure including
- Title "Logistic Equation Slope Field and Euler's Method solutions by FirstName LastName" with your actual first and last names, along the top
- Labels for the axes
- a slope field for -3 t 3, -M/2 y 3M/2
- Euler's method solutions for initial conditions y(0)=5M/4, y(0)=M, y(0)=M/2, y(0)=0 and y(0)=-M/4, in each case for -3 t 3, h=0.1
- For each initial condition, a label "y(0) = (value)" but with the actual value, at an appropriate location
- For each solution curve, a label "y(3) (Euler's method value)" but with the actual value, or "y(3) = ?", at an appropriate location
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