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