Question

The integrating factor of the differential equation $\frac{dy}{dx} + \frac{1}{x}y = 3x$ is

• A. x
• B. In x
• C. 0
• D. 1

Answer 1

Answer: (A)

x

Answer 2

The given differential equation is $\frac{dy}{dx} + \frac{1}{x} = 3x$

Here, $P = \frac{1}{x}$ and Q = 3x

I.F. $e^{\int_{}^{}{pdx}} = e^{\int_{}^{}{\frac{1}{x}dx}} = e^{\log x} = x$