Question

write the Matlab program for solving first-order ordinary differential equation by Euler's method

Answer 1

Answer:

The equation to be used is y’ +2y = 2 – e -4t.

y(0) = 1, which has an exact solution:

y(t) = 1 + 0.5 e -4t - 0.5 e -2t .

I did the following to solve numerically: 1+(0.5e^-4t) - (0.5e^-2(0)) y_n+1=1+0.1 and y_n+1=1+1(.001)

The step sizes are 0.1 and 0.001. (so my h in this example). The t values range from 0.1 to 5.0.

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