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

Let the solution curve $y = y ( x )$ of the differential equation,

$\left[\frac{x}{\sqrt{x^{2}-y^{2}}}+e^{\frac{y}{x}}\right] x \frac{d y}{d x}=x+\left[\frac{x}{\sqrt{x^{2}-y^{2}}}+e^{\frac{y}{x}}\right] y$

pass through the points $(1,0)$ and $(2 \alpha, \alpha), \alpha>0$.

Then $\alpha$ is equal to

$\tan^{-1}(\sqrt{3})$
Let A and B be two events. If $\text{P(A)}=0.2,\text{P(B)}=0.4,\text{P}(\text{A}\cup\text{B})=0.6$ then P(A|B) 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 $B(x)$
The value of $\int_{ - 2}^2 {(a{x^3} + bx + c)} $ depends on
Which of the following represents direction cosines of the line:
Given two independent events, if the probability that exactly one of them occurs is $\frac {26}{49}$ and the probability that none of them occurs is $\frac {15}{49}$ , then the probability of more probable of the two events is
The area of the region bounded by the curve $x = 2y + 3$ and the lines $y = 1$ and $y = -1$ is :
Two sides of a triangle are to have lengths $'a'$ cm & $'b'$ cm. If the triangle is to have the maximum area, then the length of the median from the vertex containing the sides $'a'$ and $'b'$ is
Define a relation $R$ over a class of $n \times n$ real matrices $A$ and $B$ as $"ARB$ iff there exists a non-singular matrix $P$ such that $PAP ^{-1}= B "$ Then which of the following is true?