Differential Equations Quiz
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FIRST-ORDER DIFFERENTIAL EQUATIONS
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The differential equation ydx+(2xy−e−2y)dy=0y dx + (2xy - e^{-2y}) dy = 0 is not exact. Let P(y)=1M(∂N∂x−∂M∂y)P(y) = \frac{1}{M}(\frac{\partial N}{\partial x} - \frac{\partial M}{\partial y}). If P(y)P(y) is a function of yy only, then μ(y)=e∫P(y)dy\mu(y) = e^{\int P(y) dy} is an integrating factor. Which statement is true for the given equation?
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