Download App

DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
MCQ
The degree of the differential equation
$\bigg(\frac{\text{d}^2\text{y}}{\text{dx}^2}\bigg)^3 + \bigg(\frac{\text{dy}}{\text{dx}}\bigg)^2+\text{sin} \bigg(\frac{\text{dy}}{\text{dx}}\bigg) + 1 =0 \ \text{is}$
  • A
    3
  • B
    2
  • C
    1
  • ✓
    not defined.
✓

Answer

Correct option: D.
not defined.
The given differential equation is $\bigg(\frac{\text{d}^2\text{y}}{\text{dx}^2}\bigg)^3 + \bigg(\frac{\text{dy}}{\text{dx}}\bigg)^2+\text{sin} \bigg(\frac{\text{dy}}{\text{dx}}\bigg) + 1 =0 \ $

Since the differential equation is not a polynomial equation in its derivatives.

$\therefore$ its degree is not defined.

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 DIFFERENTIAL EQUATIONS→DIFFERENTIAL EQUATIONS — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

$X$ and $Y$ are independent events such that $P(X \cap \bar{Y})=\frac{2}{5}$ and $P(X)=\frac{3}{5}$. Then $P(Y)$ is equal to:
→
Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}. Choose
the correct answer.
→
Let $f ( x )=\min \{1,1+ x \sin x \}, 0 \leq x \leq 2 \pi$. If $m$ is the number of points, where $f$ is not differentiable and $n$ is the number of points, where $f$ is not continuous, then the ordered pair $( m , n )$ is equal to
→
If $\Delta=\left|\begin{array}{ccc}l+m & m+n & n+l \\ n & l & m \\ 2 & 2 & 2\end{array}\right|$, then
→
Unboundedness is usually a sign that the $\text{LP}$ problem.
→
The solution of the equation $x\frac{{dy}}{{dx}} = y - x\tan \left( {\frac{y}{x}} \right)$ is
→
Give the correct order of initials $T$ or $F$ for following statements. Use $T$ if statement is true and $F$ if it is false.

Statement $-1$ : If the graphs of two linear equations in two variables are neither parallel nor the same, then there is a unique solution to the system. Statement $-2$ : If the system of equations $ax + by = 0, cx + dy = 0$ has a non-zero solution, then it has infinitely many solutions.

Statement $-3$ : The system $x + y + z = 1, x = y, y = 1 + z$ is inconsistent. Statement $-4$ : If two of the equations in a system of three linear equations are inconsistent, then the whole system is inconsistent.

→
Find the value of $\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right)$
→
Let f : Z → Z be given by $\text{f(x)}=\begin{cases}\frac{\text{x}}{2},&\text{if x is even}\\0,&\text{if x is odd}\end{cases}.$ Then, f is:
→
The area (in sq. units) of the region $\left\{ {x \in R:x \ge } \right.0,\,y \ge 0,\,y \ge x - 2\,and\,y \le \sqrt x \} \,,\,$ is
→