Question

Integrating factor of `dy/dx + y = x^2 + 5` is ______ 

Options

• x

• log x

• -x

• e^x

Answer 1

Integrating factor of `dy/dx + y = x^2 + 5` is e^x.

Explanation:

`dy/dx + y = x^2 + 5`

This is the linear differential equation of the form `dy/dx + Py = Q`, where P = 1

∴ I.F. = `e^{int Pdx} = e^{int 1dx} = e^x`