Question -
Answer -
Let F (x, y)be the curve and let (x, y) be a point on the curve. Theslope of the tangent to the curve at (x, y) is 
According to the given information:
This is a linear differential equation of the form:
The general equation of the curve is given by therelation,
Therefore, equation (1) becomes:
The curve passes through point (0, 2).
Therefore, equation (2) becomes:
0 + 2 – 4 = Ce0
⇒ – 2 = C
⇒ C = – 2
Substituting C = –2 in equation (2), we get:
This is the required equation of the curve.