Given differential equation is 5x ${\left(\frac{\mathit{d}\mathit{y}}{\mathit{d}\mathit{x}}\right)}^2-\frac{{\mathit{d}}^2\mathit{y}}{\mathit{d}{\mathit{x}}^2}$ - 6y = log x
In the above equation the highest order derivate is $\frac{{\mathit{d}}^2\mathit{y}}{\mathit{d}{\mathit{x}}^2}$ and its power is 1.
Thus, the degree of differential equation 5x ${\left(\frac{\mathit{d}\mathit{y}}{\mathit{d}\mathit{x}}\right)}^2-\frac{{\mathit{d}}^2\mathit{y}}{\mathit{d}{\mathit{x}}^2}$ - 6y = log x is 1