I have a question that hopefully y'all can help me with. I need help with stating the system of vector equations to be solved for the problem : $$y=Ax^3 + Bx$$ as well as
$$y=Ae^x + B\sin(y) +Cx$$
I know how to solve vector equations for basic $y=mx+b$ equations but what is throwing me off is the exponents in the equations. Any help would be much appreciated!
Substituting $y$ from the first equation, the second equation becomes: $$ Ae^x+B\sin(Ax^3+Bx)+x(C-B)=0 $$ That is a transcendental equation that can be solved only with numerical methods.