The order of the differential equation 2x^2 d^2y dx^2 -3 dy dx +y… - Vidyadip

MCQ

The order of the differential equation
$2\text{x}^2\frac{\text{d}^2\text{y}}{\text{dx}^2}-3\frac{\text{dy}}{\text{dx}}+\text{y}=0 \ \text{is}$

✓
2
B
1
C
0
D
not defined.

✓

Answer

Correct option: A.

2

The given differential equation is $2\text{x}^2\frac{\text{d}^2\text{y}}{\text{dx}^2}-3\frac{\text{dy}}{\text{dx}}+\text{y}=0$

The highest order derivative present in the differential equation is $\frac{\text{d}^2\text{y}}{\text{dx}^2}.$

$\therefore$ its 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

Choose the correct answer from given four options in each of the Exercise: If $\text{A}=\begin{vmatrix}2&\lambda&-3\\0&2&5\\1&1&3\end{vmatrix},$ then $A^{-1}$ exists, if:

Let * be a binary operation defined on set Q − {1} by the rule a * b = a + b − ab. Then, the identify element for * is:

If $\int\limits^1_0\text{f}(\text{x})\text{dx}=1,\int\limits^1_0\text{x}\text{f}(\text{x})\text{dx}=\text{a},\int\limits^1_0\text{x}^2\text{f}(\text{x})\text{dx}=\text{a}^2,$ then $\int\limits^1_0(\text{a}-\text{x})^2\text{f(x)}\text{dx}$ equals:

If every row of a matrix $A$ contains $p$ elements and its column contains $q$ elements, then the order of $A$ is :

Given the relation $R = \{(1, 2), (2, 3)\}$ on the set $A = {1, 2, 3}$, the minimum number of ordered pairs which when added to $R$ make it an equivalence relation is

Moving along the $ x-$ axis are two points with $x = 10 + 6t; \, x = 3 + {t^2}.$ The speed with which they are reaching from each other at the time of encounter is ........... $cm/sec$. ( $x$ is in $cm$ and $t$ is in seconds)

The direction cosines of three lines passing through the origin are ${l_1},{m_1},{n_1};\,{l_2},{m_2},{n_2}$ and ${l_3},{m_3},{n_3}$. The lines will be coplanar, if

The domain of $\cos^{-1}\big(\text{x}^2-4\big)$ is:

$\int {\frac{{(2x + 1)}}{{{{({x^2}\, + 4x + 1)}^{\frac{3}{2}}}}}\,\,dx} $

Corner points of the feasible region determined by the system of linear constraints are $(0, 3), (1, 1)$ and $(3, 0).$ Let $Z = px + qy,$ where $p, q > 0.$ Condition on p and q so that the minimum of $Z$ occurs at $(3, 0)$ and $(1, 1)$ is: