The number of positive integral solution of x⁴ –y⁴ = 3789108

${\mathrm{x}}^4-{\mathrm{y}}^4\equiv (\mathrm{x}-\mathrm{y})(\mathrm{x}+\mathrm{y})\left({\mathrm{x}}^2+{\mathrm{y}}^2\right)$
$\Rightarrow \mathrm{x}-\mathrm{y},\mathrm{x}+\mathrm{y},{\mathrm{x}}^2+{\mathrm{y}}^2$ must be an even integer
Therefore, $(\mathrm{x}-\mathrm{y})(\mathrm{x}+\mathrm{y})\left({\mathrm{x}}^2+{\mathrm{y}}^2\right)$ must be divisible by 8. 
But R.H.S. is not divisible by 8. 
Hence, the given equation has no solution.