An intergrating factor of the equation $(1 + y + x^{2} y) d x + (x + x^{3}) d y = 0$ is

e^x

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x²

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1/x

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Solution

The correct option is D
x

$\frac{d y}{d x} + (x) y = \frac{- 1}{x + x^{3}} \Rightarrow I . F = x$

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An integrating factor of the differential equation $(1 + y + x^{2} y) d x + (x + x^{3}) d y = 0$ is

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An integrating factor of the differential equation $(1 + y + x^{2} y) d x + (x + x^{3}) d y = 0$ is

(1 + y + x^{2} y) d x + (x + x^{3}) d y = 0

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