Differential Equation: ye^(xy) dx + xe^(xy) dy = 0

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qwerty
Differential Equation: ye^(xy) dx + xe^(xy) dy = 0

Please help me to solve this differential equation

yexydx+xexydy=0

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Jhun Vert
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$ye^{xy}\,dx + xe^{xy}\,dy = 0$

$e^{xy}(y\,dx + x\,dy) = 0$

$e^{xy} \, d(xy) = 0$

$\displaystyle \int e^{xy} \, d(xy) = 0$

$e^{xy} = c$           answer

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qwerty

So it was not an exact equation haha. By the way thank you sir Romel. God bless.

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engeng
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Boss pahelp naman po....pleassssssss sir.....
1. (2ycosx + sin⁴x)dx = sin x dy when x=½π, y=1

2. (1+4xy-4x²y) dx +(x²-x³)dy =0 when x=2, y=¼

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