write the matlab program for solving first order ordinary differential equation by euler's method
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hlo✔
have a problem that requres taking a second order ODE and decomposing it into 2 first-order ODEs, then approximating a solution using Euler's explicit ...
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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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