1 Consider the initial value problem y 1 y t, y(1) 3for1t2 Show th...

1. Consider the initial value problem yâ€² =1+y/t, y(1)=3 for1â‰¤tâ‰¤2. â€¢ Show that y(t) = t ln...

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1. Consider the initial value problem yâ€² =1+y/t, y(1)=3for1â‰¤tâ‰¤2.
â€¢ Show that y(t) = t ln t + 3t is the solution to the initialvalue problem.
â€¢ Write a program that implements Eulerâ€™s method and the 4thorder Runke-Kutta method for the above initial value problem. Useyour program to solve with h = 0.1 for Eulerâ€™s and h = 0.2 forR-K.
â€¢ Include a printout of your code and a printout of the resultsat each time step.
â€¢ Use Taylorâ€™s method to compute w1 with h = 0.1 for orders 1through 4.

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MATLAB Program for EULER METHOD h01 Solving ODE IVP using Euler methodclc Clears the screenclear allformat long h01 step sizet 1h2 y1 3 initial conditionFty See Answer

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