Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 17 of Exercise 9.4

Listen NCERT Audio Books - Kitabein Ab Bolengi

17

Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

We know that slope of a tangent is =


So we are given that the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.



Now separating variables,


ydy = xdx


Integrating both sides,





Now the curve passes through (0, -2).


4-0 = 2c


c = 2


Putting the value of c in i)



17

Chapter Exercises

More Exercise Questions