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