I build a model for our problem, but i cannot get a result from my model. Could anyone give me some idea to solve this formula: $aX+bX^2=e^{cX}$
Thx in advance!
I build a model for our problem, but i cannot get a result from my model. Could anyone give me some idea to solve this formula: $aX+bX^2=e^{cX}$
Thx in advance!
I am by far no expert on this and maybe you should wait for somebody with more expertise, but I can tell you that this equation has no analytical solution and has to be solved numerically (I guess you already know that, given your tag). One of the easiest options is Newton's method. To find a zero of $f(X)=aX+bX^2-e^{cX}$ you start with a $X_0$ which should be close to the expected zero and then compute inductively $X_{i+1}=X_i-\frac{f(X_i)}{f'(X_i)}.$ The sequence should then converge to a solution. There are multifarious ways to improve this and there are situations where this approach doesn't work, but this is a start.