# Find the Integerating Factor of the Differential Equation X D Y D X − 2 Y = 2 X 2 - Mathematics

Sum

Find the integerating factor of the differential equation x(dy)/(dx) - 2y = 2x^2

#### Solution

(dy)/(dx) + (-2/x)y = 2x

compare with (dy)/(dx) + py = Q

⇒ p = -2/x

therefore Integrating factor IF = e^(∫pdx)

= e^(∫-2/xdx)

= e^(-2  "In"  x)

= e^("In"  x^-2)

= x^-2

= 1/x^2

Is there an error in this question or solution?