Download App

DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
MCQ
The degree of the differential equation $2\text{x}^{2}\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}+3\frac{\text{dy}}{\text{dx}}+\text{y}=0$ is:
  • ✓
    2
  • B
    1
  • C
    0
  • D
    Not defined.
✓

Answer

Correct option: A.
2
We have,
$2\text{x}^{2}\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}+3\frac{\text{dy}}{\text{dx}}+\text{y}=0$
Here, the highest order is $\frac{\text{d}^{2}\text{y}}{\text{d}^{2}\text{x}}.$
Hence, the order is 2.

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

Let $U_1$ and $U_2$ be two urns such that $U_1$ contains $3$ white and $2$ red balls, and $U_2$ contains only $1$ white ball. A fair coin is tossed. If head appears then I ball is drawn at random from $U_1$ and put into $U_2$. However, if tail appears then $2$ balls are drawn at random from $U_1$ and put into $U_2$. Now $1$ ball is drawn at random from $U_2$.

$1.$ The probability of the drawn ball from $U_2$ being white is

$(A)$ $\frac{13}{30}$ $(B)$ $\frac{23}{30}$ $(C)$ $\frac{19}{30}$ $(D)$ $\frac{11}{30}$

$2.$ Given that the drawn ball from $U_2$ is white, the probability that head appeared on the coin is

$(A)$ $\frac{17}{23}$ $(B)$ $\frac{11}{23}$ $(C)$ $\frac{15}{23}$ $(D)$ $\frac{12}{23}$

Give the answer question $1$ and $2.$

→
Which of the following is injective but not surjective ?
→
If $\frac{\text{dy}}{\text{dx}}=\cos(2\text{x})$ then y =
→
The co-ordinates of the point which divides the join of the points $(2, -1, 3)$ and $(4, 3, 1)$ in the ratio $3 : 4$ internally are given by
→
Let $f(x) = x^2 - 3x + 2$ then area bounded by the curve $f( ∣x∣ ) ($in square units$)$ and $x -$ axis is:
→
In which of the following functions Rolle’s theorem is applicable ?
→
If $y=\log _7(\log x)$, then find $\frac{d y}{d x}$.
→
Let the solution curve of the differential equation $x \frac{d y}{d x}-y=\sqrt{y^{2}+16 x^{2}}, y(1)=3$ be $y=y(x)$. Then $y (2)$ is equal to
→
The solution of the differential equation $(1 + {x^2})\frac{{dy}}{{dx}} = x$ is
→
If $A$ is a square matrix of order $3$ such that the value of $|\operatorname{adj} A|=8$, then the value of $\left|A^{\top}\right|$ is
→