Pregunta: 0. Determine all values b so that f(x,y)=e2x−by satisfies 2fxx(x,y)+fxy(x,y)=fyy(x,y).

Given partial differential equation is $2{\mathrm{f}}_{\mathrm{x}\mathrm{x}}(\mathrm{x},\mathrm{y})+{\mathrm{f}}_{\mathrm{x}\mathrm{y}}(\mathrm{x},\mathrm{y})={\mathrm{f}}_{\mathrm{y}\mathrm{y}}(\mathrm{x},\mathrm{y})$ .....(1)

Also, the given function is $\mathrm{f}(\mathrm{x},\mathrm{y})={\mathrm{e}}^{2\mathrm{x}-\mathrm{b}\mathrm{y}}$ ....(2)

We have to fin...