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Differential Equations

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First Order Exact Equation: A Quick Way

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The general solution for $(e^x+2xy^3)dx+(3x^2y^2+\frac{2y}{y^2+1})dy=0$ is given by:

Hint: Write your answer as $\ldots=C$. Do not use LaTeX for your answer. Write exponents using the carrot symbol and without parentheses like: 'e^x' instead of 'e^{x}'. Omit spaces around operators.