Solving conditional nonlinear equations

I have two equations as below.

equation 1 : a + b = 1;

equation 2 : b = a ( -0.3 < a < 0.3) or a + 0. 2 ( a >= 0.3 or a <= -0.3)

how can i get the answer?

The example is just for the question.

The real problem that I am facing is similar to it.

What I want to know is how to solve a conditional equation with matlab.

Thank you.

Answer 1

[Ameer Hamza]

See this example

syms a b

eq1 = a + b == 1;
eq2 = b == piecewise(-0.3<a & a<0.3, a, a<=-0.3 | 0.3<=a, a+0.2);

sol = solve([eq1, eq2])

[byungkeuk cho]

wow. Thank you very much.

piecewise is the one i should know.

[Ameer Hamza]

I am glad to be of help!