Consider the following statements:
1. tan–1x + tan–1y = c is the general solution of the differential equation (1 + x2) dy + (1 + y2) dx = 0
2. The integrating factor of the differential equation \(\rm\frac{dy}{dx} + y = \rm\frac{1+y}{x}\) is \(\frac{e^x}{x}\).
Which of the above statements is/are correct?1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2
5
Not Attempted