NCERT Class 12-Mathematics: Chapter –9 Differential Equations Part 10
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Question 28:
Find the general solution of
Answer:
Question 29:
Find the equation of a curve passing through if the slope of the tangent to the curve at any point is
Answer:
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
Answer:
It is given that, slope of tangent to the curve at any point is
On integrating both sides, we get
Since, the given curve passes through point
The particular solution is