MCQ
A differential equation of first order and first degree is
- A$x{\left( {\frac{{dy}}{{dx}}} \right)^2} - x + a = 0$
- B$\frac{{{d^2}y}}{{d{x^2}}} + xy = 0$
- ✓$dy + dx = 0$
- DNone of these
Option $(b)$ Second order and first degree.
Option $(c)$ First order and first degree.
$i.e.$, $dy + dx = 0$or $\frac{{dy}}{{dx}} + 1 = 0$.
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$STATEMENT-1$ $:\left(\mathrm{p}^2-\mathrm{q}\right)\left(\mathrm{b}^2-\mathrm{ac}\right) \geq 0$ and
$STATEMENT$ $-2: \mathrm{b} \neq \mathrm{pa}$ or $\mathrm{c} \neq \mathrm{qa}$
Statement $1$ : $AB - BA$ is always an invertible matrix
Statement $2$ : $AB -BA$ is never an identity matrix