logistic_guy
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- Apr 17, 2024
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\(\displaystyle \textcolor{indigo}{\bold{Solve.}}\)
\(\displaystyle (x^2 \pm a^2)\frac{\partial w}{\partial x} + (y^2 \pm a^2)\frac{\partial w}{\partial y} = bx^ny^m\left[\frac{n(x^2 \pm a^2)}{x} + \frac{m(y^2 \pm a^2)}{y}\right]w^2\)
\(\displaystyle (x^2 \pm a^2)\frac{\partial w}{\partial x} + (y^2 \pm a^2)\frac{\partial w}{\partial y} = bx^ny^m\left[\frac{n(x^2 \pm a^2)}{x} + \frac{m(y^2 \pm a^2)}{y}\right]w^2\)