my question
partial diff equation
and
i need all steps
question :
\(\displaystyle \mbox{ Transform to canonical form:}\)
\(\displaystyle 1.\, e^{2y}\, \dfrac{\partial^2u(x,\, y)}{\partial x^2}\, -\, 4x^2\, \dfrac{\partial^2 u(x,\, y)}{\partial y^2}\, =\, 0\)
\(\displaystyle 2.\, x^2\, \dfrac{\partial^2 u(x,\,y)}{\partial x^2}\, +\, y^2\, \dfrac{\partial^2 u(x,\, y)}{\partial y^2}\, =\, 0\)
partial diff equation
and
i need all steps
question :
\(\displaystyle \mbox{ Transform to canonical form:}\)
\(\displaystyle 1.\, e^{2y}\, \dfrac{\partial^2u(x,\, y)}{\partial x^2}\, -\, 4x^2\, \dfrac{\partial^2 u(x,\, y)}{\partial y^2}\, =\, 0\)
\(\displaystyle 2.\, x^2\, \dfrac{\partial^2 u(x,\,y)}{\partial x^2}\, +\, y^2\, \dfrac{\partial^2 u(x,\, y)}{\partial y^2}\, =\, 0\)
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