First slide

Introduction to Differential equations

Question

$Integrating factor of x \frac{d y}{d x} = (2 y + 2 x^{4} + x^{2})$

Moderate

A

$x^{- 2}$
B

$x^{- 1}$
C

$x$
D

$x^{2}$

Solution

$\frac{d y}{d x} - \frac{2 y}{x} = 2 x^{3} + x ∴ I . F = \int \frac{- 2}{x} d x = x^{- 2}$

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