Findthe equation of a curve passing through the point (0, 2) given that the sumof the coordinates of any point on the curve exceeds the magnitude of theslope of the tangent to the curve at that point by 5.

Findthe equation of a curve passing through the point (0, 2) given tha

1.	Findthe equation of a curve passing through the point (0, 2) given that the sumof the coordinates of any point on the curve exceeds the magnitude of theslope of the tangent to the curve at that point by 5.
Answer» Correct Answer - `y = 4 - x - 2e ^(x)` ` (x +y) - (dy )/(dx) = 5`.