# NCERT Class 12-Mathematics: Chapter –9 Differential Equations Part 10

Get unlimited access to the best preparation resource for IEO Class-3: fully solved questions with step-by-step explanation- practice your way to success.

Question 28:

Find the general solution of

Question 29:

Find the equation of a curve passing through if the slope of the tangent to the curve at any point is

It is given that, the slope of tangent to the curve at point

Which is homogeneous differential equation.

Put

On substituting these values in Eq. (i), we get

On integrating both sides, we get

Put LHS, we get

Since, the curve passes through the point

So, the required solution is

Question 30:

Find the equation of the curve through the point (1, 0) if the slope of tangent to the curve at any point is