Calculate current in RLC using Euler

Following the second law of Kirchhoff I have the following equation for the current:

L(dI/dt)+RI=E

I know the following: E(t)=40sin(60t) L=1 henry R=2 ohms I(0)=1 A.

I have to calculate the current after 1 second using the explicit (also known as progressive) Euler's method. I've been looking around for codes and theory but I can't figure out how to do it, altho I know it's simple. Can someone help me out?

Answer 1

[Nikhil Negi]

Hello Joao,

if you can define this equation in matlab the following way.

syms i(t);
ode=diff(i,t)==40*sin(60*t)-2*i;  
iSol(t)=dsolve(ode,i(0)==1);

then to find the value of i(1)

   eval(i(1))

this method does not use Euler's method but rather find the equation for i(t) explicitly but if you want to be use Euler method only i would suggest you to look into this tutorial,

solving-odes-in-matlab-1-euler-ode1