MCQ
$\frac{{{d^3}y}}{{d{x^3}}} + 2\,\left[ {1 + \frac{{{d^2}y}}{{d{x^2}}}} \right] = 1$ has degree and order as
  • $1, 3$
  • B
    $2, 3$
  • C
    $3, 2$
  • D
    $3, 1$

Answer

Correct option: A.
$1, 3$
a
(a) Clearly degree $= 1$, order $= 3.$

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

Similar questions

The integer $n$ for which $\mathop {\lim }\limits_{x \to 0} \,\frac{{(\cos x - 1)\,(\cos x - {e^x})}}{{{x^n}}}$ is a finite non-zero number is
A quadratic polynomial $ y = f (x)$  with absolute term  $3$  neither touches nor intersects the abscissa axis and is symmetric about the line $x = 1$ . The coefficient of the leading term of the polynomial is unity. A point $A(x_1, y_1)$  with abscissa $x_1 = 1$  and a point $B(x_2, y_2) $ with ordinate $y_2 = 11 $ are given in a cartisian rectangular system of co-ordinates $OXY $ in the first quadrant on the curve $y = f (x)$  where $ 'O'$  is the origin. The graph of $y = f(x)$ represents a parabola whose focus has the co-ordinates
If $|x-2| \geq 8,$ then...
The set of all possible values of $\theta$ in the interval $(0, \pi)$ for which the points $(1,2)$ and $(\sin \theta,$ $\cos \theta)$ lie on the same side of the line $x+y= 1$ is
$\left| {\,\begin{array}{*{20}{c}}{1/a}&{{a^2}}&{bc}\\{1/b}&{{b^2}}&{ca}\\{1/c}&{{c^2}}&{ab}\end{array}\,} \right| = $
Let $f ( x )=2 x ^{ n }+\lambda, \lambda \in R , n \in N$, and $f (4)=133$, $f(5)=255$. Then the sum of all the positive integer divisors of $( f (3)- f (2))$ is
The number of $3-$digit numbers, formed using the digits $2,3,4,5$ and $7$ , when the repetition of digits is not allowed, and which are not divisible by $3$ , is equal to ..........
If a line makes an angle of $\frac{\pi }{4}$ with the positive directions of each of $x- $ axis and $y-$ axis, then the angle that the line makes with the positive direction ofthe $z-$ axis is
If $1,\,\omega ,\,{\omega ^2}$ are the roots of unity, then ${(1 - 2\omega + {\omega ^2})^6}$ is equal to
Let for $i\, = 1, 2, 3, p_i(x)$ be a polynomial of degree $2$ in $x, p'_i(x)$ and $p"_i(x)$ be the first and second order derivatives of $p_i(x)$ respectively. Let, $A\left( x \right)=\left[ \begin{matrix}
   {{p}_{1}}\left( x \right) & p_{1}^{'}\left( x \right) & p_{1}^{''}\left( x \right)  \\
   {{p}_{2}}\left( x \right) & p_{2}^{'}\left( x \right) & p_{2}^{''}\left( x \right)  \\
   {{p}_{3}}\left( x \right) & p_{3}^{'}\left( x \right) & p_{3}^{''}\left( x \right)  \\
\end{matrix} \right]$ and $B(x)\,= [A(x)]^T$ $A(x)$. Then determinant of $B(x)$