Question: How to solve a non linear first degree partial equation


I have been trying to solve a simple nonlinear equation. Im interested in the solution per say rather than the plot but when I browsed about the commands to use, this came up. I tried it in my case and it is giving me the following errors:





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C*(y(x)*((diff(y(x), x))^2+1))^(1/2)-y(x) = 0





bcs:=y(-1)=1, y(1)=1;

y(-1) = 1, y(1) = 1



{(y(x)*((diff(y(x), x))^2+1))^(1/2)-y(x) = 0, y(-1) = 1, y(1) = 1}


dsol:=dsolve(dsys, numeric); odeplot(dsol,[x,y(x)],0..1,color=red,axes=box);

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system


Error, (in plots/odeplot) input is not a valid dsolve/numeric solution






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