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  • Family y = Ax + A3 of curves will correspond to a differential equation of order , (a) 3 (b) 2 (c) 1 (d) not defined.

Family y = Ax + A3 of curves will correspond to a differential equation of order ,
(a) 3        (b) 2     (c) 1     (d) not defined.

Answers (1)

The answer is the option (c) 1.

Explanation: -

\Rightarrow \quad \frac{d y}{d x}=A$
Putting the value of A in Eq. (i), we gt
$$ y=x \frac{d y}{d x}+\left(\frac{d y}{d x}\right)^{3} $$
\therefore \quad$ Order $=1$

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