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verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: $xy=\log y+c:y’=\frac{{{y}^{2}}}{1-xy}(xy\ne 1)$
verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: $xy=\log y+c:y’=\frac{{{y}^{2}}}{1-xy}(xy\ne 1)$
CBSE | Class 12 | Differential Equations | Exercise 9.2 | NCERT
verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: $xy=\log y+c:y’=\frac{{{y}^{2}}}{1-xy}(xy\ne 1)$

Differentiating both sides of eq. (i) w.r.t  we have

      

Hence, Function (implicit) given by eq. (i) is a solution of .

i

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