Q34 of 50 Page 193

The degree of the differential equation is:

In general terms for a polynomial the degree is the highest power


Degree of differential equation is defined as the highest integer power of highest order derivative in the equation


Here the differential equation is


Now for degree to exist the given differential equation must be a polynomial in some differentials


Here differentials mean


The given differential equation is not polynomial because of the term and hence degree of such a differential equation is not defined.

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32

Find the equation of a curve passing through the point (1, 1). If the tangent drawn at any point P(x,y) on the curve meets the co-ordinate axes at A and B such that P is the mid-point of AB.

 33

Solve:

35

The degree of the differential equation is:

 36

The order and degree of the differential equation respectively, are