How do I use finite difference scheme?

1st order linear ODE over a range -2.0<x<2.0

y'+2xy=0

Requirement: Use a finite difference scheme with 1st order approximation of the derivative. And use 'for' function.

Task 1 : Draw solution curves with a symbol for dx=0.1 over the same range of x.

Task 2 : Repeat the same for dx=0.01 and draw on the same figure using a different symbol.

I don't know how to make this ODE solution without 'dsolve' function.

    x1 = -1.9; y1 = 80*exp(-x1.^2);
for x2 = x1:0.1:1.9
y2 = y1-2.*x1.*y1.*(x2-x1)
end
    plot (x2, y2, '-green')

[Torsten]

Google "MATLAB & Euler method".

Answer 1

[Rajesh Balagam]

You may find the following MATLAB Answers pages useful:

https://www.mathworks.com/matlabcentral/answers/130653-code-of-euler-s-method

https://www.mathworks.com/matlabcentral/answers/157678-how-do-i-alter-myeuler-m-to-calculate-m-and-plot-the-solution?s_tid=answers_rc1-1_p1_BOTH