thee differential eqn of all curves for which the initial ordinate is of any tangent is equal to the corresponding subnormal is
a)is linear
b)is homogenous in first degree
c)has separable variable
d)is second order
1As far as I have understood the problem, the subnormal, is equal to the ordinate of the point of tangency. If this is the case, then,
y(dy/dx) = y
i.e, dy/dx=1
this is not a linear differential equation; neither a second order, nor homogeneous in 1st degree. It is of course in the variable seperable form. So, I think c is correct.
1the answer is (a) as dy/dx=1 as it 1 is a constant not a variable
1kartik, dy/dx =1 is not a linear differential equation.
The question is about the type of the differential equation and not about the type of the function.
