Submitted by Meryjoy99 on Tue, 05/16/2017 - 20:26
Forums:
After differentiating the given expression and equating gradients I get four equations for a, b and n, which don't make sense altogether. Should I try to modify in some way the fraction of the D.E.?
What are your four equations?
What are your four equations? Something you might have missed (that will make your life easier) is when you are comparing$$\frac{\alpha (a,b,n)x+\beta (a,b,n)y}{\gamma (a,b,n)x+ \delta (a,b,n)y} \text{ with } \frac{Ax+By}{Cx+Dy}, $$ you should include an arbitrary constant, say $k$, when equating coefficients so that the equations you get are of the form $$\alpha (a,b,n)=kA, \quad \beta (a,b,n)=kB, \quad \gamma (a,b,n)=kC,\quad \delta (a,b,n)=kD.$$