A) \[{{e}^{5x}}+{{e}^{5y}}=c\]
B) \[{{e}^{5x}}-{{e}^{5y}}=c\]
C) \[{{e}^{5x+5y}}=c\]
D) None of these
Correct Answer: A
Solution :
\[{{e}^{2x-3y}}dx+{{e}^{2y-3x}}dy=0\] Multiply the equation by \[{{e}^{3x+3y}}\]Þ \[{{e}^{5x}}dx+{{e}^{5y}}dy=0\] On integrating, we get \[{{e}^{5x}}+{{e}^{5y}}=5c'=c\].You need to login to perform this action.
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