Let M be the integer corresponding to the first letter of your last name. For example,...

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Advance Math

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

  1. Title "Logistic Equation Slope Field and Euler's Methodsolutions by FirstName LastName" with your actual first and lastnames, along the top
  2. Labels for the axes
  3. a slope field for -3 ? t ? 3, -M/2 ? y ? 3M/2
  4. 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
  5. For each initial condition, a label "y(0) = (value)" but withthe actual value, at an appropriate location
  6. For each solution curve, a label "y(3) ? (Euler's methodvalue)" but with the actual value, or "y(3) = ?", at an appropriatelocation

Print on 8.5x11 paper in landscape format.

First letter of my last name is P.

Answer & Explanation Solved by verified expert
3.7 Ratings (628 Votes)
Matlab code for ode solution and direction fieldclear allclose allFirst letter of my last name is PM16k1Mfunction to be solvedfty 116y16ytini3tend3Plotting Direction fieldfigure1dirrfieldf3023M213M2hold onall initial conditiony05M4 M M2 0 M4all time stepstinit0tend3 h01plot for    See Answer
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