A) \[\frac{x}{y}+{{e}^{{{x}^{3}}}}=C\]
B) \[\frac{x}{y}-{{e}^{{{x}^{3}}}}=0\]
C) \[-\frac{x}{y}+{{e}^{{{x}^{3}}}}=C\]
D) None of these
Correct Answer: A
Solution :
Given differential equation can be rewritten as \[\frac{y\,dx-x\,dy}{{{y}^{2}}}+3{{x}^{2}}{{e}^{{{x}^{3}}}}dx=0\] \[\Rightarrow \] \[d\left( \frac{x}{y} \right)+d({{e}^{{{x}^{3}}}})=0\] On integrating, we get \[\frac{x}{y}+{{e}^{{{x}^{3}}}}=C\]You need to login to perform this action.
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