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Please solve this question with MATLAB. Thanks! Problem 1: Consider the ordinary differential equation f(t,y) 100 100y10, (01.0 Implement the following algorithm (Euler's method) in

Please solve this question with MATLAB. Thanks!

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Problem 1: Consider the ordinary differential equation f(t,y) 100 100y10, (01.0 Implement the following algorithm (Euler's method) in your favorite language. At each time step t you know the value y(t) and hence its derivative from the differential equation yt)- f(t,y(t)). So follow the slope for a small time-step h to obtain y(t+h) ~ y(t)+t) function table - solve euler(f,to,y0,h,t final,step) % input: to initial time % y0- initial value % h= stepsize % t-final final-time (so number of steps- (t-final-t0)/h) % step - recording interval: save values at times which are multiples of step % output: table of values at the times specified by "step". set t - t0; set y - yo; set table-[] while t

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