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( 6 0 min. ) Consider the following boundary value problem: Time left 0 : 4 9 : 4 6 d 2 u ( d

(60 min.) Consider the following boundary value problem:
Time left 0:49:46
d2u(d)t2+7*du(d)t-u+52=t
dudt|t=0=1,u(t=1.6)=7
Determine ) employing a 2nd order (or, higher order) Runge-Kutta (RK2) algorithm.
The step size (t) should be set to a number that limits the truncation error for u(0.8) at 1% or less (Hint: check the relative change in solution by
trying t2, or t4 etc.).
Shortly explain how you solved this question. Prepare a short report including computer program, and/or screen shots etc.
Use of Excel, (and its Solver), Matlab, or any similar computer program for faster calculations is recommended.
Alternatives are accepted, but a second-order Runge Kutta method is:
RK2(midpoint) method:
yi+1=yi+k2*x
k1=f(xi,yi)
k2=f(xi+(12)x,yi+(12)k1*x)
Answer:?
I need the solution clearly and it is a bit urgent, thank you
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