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Show matlab code needed to solve the problem and find solution by code please 10

ID: 2292697 • Letter: S

Question

Show matlab code needed to solve the problem and find solution by code please 10.3 Consider the following first-order ODE: 4x *), +13 dt from 1-0 to t = 1.5 with y(0)-1 (a) Solve with Euler's explicit method using h = 0.5. (b) Solve with the midpoint method using h 0.5 (c) Solve with the classical fourth-order Runge-Kutta method using h 0.5 The analytical solution of the ODE is y 7e-3-32-61-6. In each part, calculate the error between the true solution and the numerical solution at the points where the numerical solution is determined

Explanation / Answer

syms y(t)
ode=diff(y,t)-y-t.^3==0;
cond=y(0)==1;
ysol=dsolve(ode,cond)

% solution

syms y(t)
ode=diff(y,t)-y-t.^3==0;
cond=y(0)==1;
ysol=dsolve(ode,cond)