Parametric Solving Equations with Constraints

Hello,

I'm using syms mode and I have two equations in x and y:

syms a b x y d e

eq1= (a^2+b)*x+b*y+d*e

eq2=(-d)*x+(e^2+a^2+b)*y+a

Now I can apply :

solve( eq1, eq2, x,y)

and I get a parametric solution.

Is there a way to parametrically solve with constraints, say (x>0 and y>b)?

Thanks!

Answer 1

[Ameer Hamza]

You can use assume() to tell MATLAB about these constraints. For example

syms a b x y d e

assume(x>0) 
assume(y>b)

eq1= (a^2+b)*x+b*y+d*e;
eq2=(-d)*x+(e^2+a^2+b)*y+a;

sol = solve([eq1, eq2], [x,y], 'ReturnConditions', true)

[EllaD]

Thank you Ameer!