12 Mathematics Differentials Equations - Set No : 3 Question No :3
Question No : 3
| The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal, is |
| a) | Non-linear | b) | Homogeneous |
| c) | In variable separable form | d) | None of the above |
Answer No : 3
(b) Let  be
the curve. The equation of tangent at  to
this curve is 
.(i)Put  in
Eq. (i), we get  This ordinate is called the initial
ordinate of the tangent. It is given that,Initial ordinate of the tangent = Subnormal
[put  ]Hence, it is a homogenous differential
equation. |