Mark the correct alternative in each of the following: Which of the following is the integrating factor of ? A first-order linear differential equation: (x log x) dy/dx + y = 2 log x.

Q38 of 462 Page 22

Mark the correct alternative in each of the following:
Which of the following is the integrating factor of ?

Divide both sides by x log x we get,

Since it is a form of linear differential equation where

and

Integrating Factor (I.F) = e^{∫ p dx}

Put log x = t

Differentiate w.r.t x we get,

Putting value in integral

Putting value of t, we get,

Now,

Mark the correct alternative in each of the following:

The differential equation n > 2 can be reduced to linear form by substituting

Mark the correct alternative in each of the following:

If p and q are the order and degree of the differential equation then

Mark the correct alternative in each of the following:

What is integrating factor of ?

Mark the correct alternative in each of the following:

Integrating factor of the differential equation is