Question
Find the equation of a curve passing through the point (– 2, 3), given that the slope of the tangent to the curve at any point (x, y) is 
Solution
We know that slope of tangent to a curve is given by 
From the given condition,
Separating the variables and integrating,
...(1)
Since curve passes through (-2, 3)
Putting c = 5 in (1), we get,
which is required equation of curve.
From the given condition,
Separating the variables and integrating,
...(1)Since curve passes through (-2, 3)
Putting c = 5 in (1), we get,
which is required equation of curve.
