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Solve the following initial value problem over the interval from t = 0 to 2 where...

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Advance Math

Solve the following initial value problem over the interval fromt = 0 to 2 where y(0) = 1 using the followingmethods.

dy/dt=y*t^2−1.1y

a) Analytical method

b) Euler's method with h=0.5 at t=2

c) Euler's method with h=0.25 at t=2

d) Midpoint method with h=0.5 at t=2

e) Fourth-order Runge-Kutta method with h=0.5 at t=2

f) Display all yor results obtained above on the same graph

Answer & Explanation Solved by verified expert
3.9 Ratings (463 Votes)
Matlab code for Euler Mid Point RK2 and RK4 methodclear allclose allFunction for which solution have to dofty yt211y h05 amount of intervals fprintfnSolution for Euler method using stepsize 22fnh fprintfInitial condition y01 att0n Euler methodt0 initial ty1 initial yteval2 at what pointwe have to evaluate ntevalth Number of steps t21t y21y for i1n Eular Steps mdoublefty tth yyhm t2i1t y2i1y    See Answer
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