A differential equation of first order and first degree is - Vidyadip

MCQ

A differential equation of first order and first degree is

A
$x{\left( {\frac{{dy}}{{dx}}} \right)^2} - x + a = 0$
B
$\frac{{{d^2}y}}{{d{x^2}}} + xy = 0$
✓
$dy + dx = 0$
D
None of these

✓

Answer

Correct option: C.

$dy + dx = 0$

c
(c) Option $(a)$ First order and second degree.

Option $(b)$ Second order and first degree.

Option $(c)$ First order and first degree.

$i.e.$, $dy + dx = 0$or $\frac{{dy}}{{dx}} + 1 = 0$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 9. differential equations→STD 12 - 9. differential equations — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The value of $\left| {\,\begin{array}{*{20}{c}}a&{a + b}&{a + 2b}\\{a + 2b}&a&{a + b}\\{a + b}&{a + 2b}&a\end{array}\,} \right|$ is equal to

Let $f : [0, \infty) \rightarrow [0, 2]$ be defined by $\text{f(x)}=\frac{2\text{x}}{1+\text{x}},$ then f is:

If $h(a) = h(b),$ the value of the integral$\int_a^b {{{[f(g(h(x)))]}^{ - 1}}f'(g(h(x)))\,g'(h(x))\,h'(x)\,dx = } $

If $y=y(x)$ is the solution curve of the differential equation $\left(x^2-4\right) d y-\left(y^2-3 y\right) d x=0$, $x>2, y(4)=\frac{3}{2}$ and the slope of the curve is never zero, then the value of $y(10)$ equals: . . . . . . .

A matrix $A$ of order $3 \times 3$ has determinant What is the value of $|3 A|$ ?

If $f(x)=\left\{\begin{array}{l}x, \text { if } x \leq 1 \\ 7, \text { if } x > 1\end{array}\right.,$ then

In tossing $10$ coins, the probability of getting exactly $5$ heads is

Let $f ( x )$ be a quadratic polynomial with leading coefficient $1$ such that $f(0)=p, p \neq 0$ and $f(1)=\frac{1}{3}$. If the equation $f(x)=0$ and $fofofof (x)=0$ have a common real root, then $f(-3)$ is equal to $........$

If $f(x)=\int_{0}^{x} t \sin t \,d t,$ then $f^{\prime}(x)$ is

$3 x^2-6 x+5$ is an increasing function, if