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If ccc is a constant, the solution of the differential equation 4ydydx+9x=04y \frac{dy}{dx} + 9x = 04ydxdy+9x=0 is
x281+y216=c\frac{x^2}{81} + \frac{y^2}{16} = c81x2+16y2=c
x216+y281=c\frac{x^2}{16} + \frac{y^2}{81} = c16x2+81y2=c
x29+y24=c\frac{x^2}{9} + \frac{y^2}{4} = c9x2+4y2=c
x24+y29=c\frac{x^2}{4} + \frac{y^2}{9} = c4x2+9y2=c
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