Which of the following is a second-order differential equation? - Vidyadip

MCQ

Which of the following is a second$-$order differential equation?

A
$(\text{y}\ ')^2+\text{x}=\text{y}^2$
✓
$\text{y}\ '\text{y}\ ''+\text{y}=\sin\text{x}$
C
$\text{y}\ '''+(\text{y}\ '')^2+\text{y}=0$
D
$\text{y}\ '=\text{y}^2$

✓

Answer

Correct option: B.

$\text{y}\ '\text{y}\ ''+\text{y}=\sin\text{x}$

The order $\text{y}\ '\text{y}\ ''+\text{y}=\sin\text{x}$ of is $2.$ Thus, it is a second$-$order differential equation.

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

The equation of the curve whose slope is given by $\frac{\text{dy}}{\text{dx}}=\frac{2\text{y}}{\text{x}};\text{x}>0,\text{y}>0$ and which passes through the point (1, 1) is:

The domain of function $\sin ^{-1} 2 x$ is :

If $\text{f(x)}=\begin{cases}\frac{36^\text{x}-9^\text{x}-4\text{x}+1}{\sqrt{2}-\sqrt{1+\cos\text{x}}},&\text{x}\neq0\\\text{k},&\text{x}=0\end{cases}$ is continuous at $x = 0,$ these $k$ equals.

The vectors $b$ and $ c$ are in the direction of north-east and north-west respectively and $ |b|=|c|= 4$ . The magnitude and direction of the vector $d = c - b$ , are

In solving the $\text{LPP} :$ “minimize $f = 6x + 10y$ subect to constraints $\text{x}\geq6,\text{y}\geq2,2\text{x}+\text{y}\geq10,\text{x}\geq0,\text{y}\geq0”$ redundant constraints are :

If the points $({x_1},{y_1}),({x_2},{y_2})$ and $({x_3},{y_3})$ are collinear, then the rank of the matrix $\left[ {\begin{array}{*{20}{c}}{{x_1}}&{{y_1}}&1\\{{x_2}}&{{y_2}}&1\\{{x_3}}&{{y_3}}&1\end{array}} \right]$ will always be less than

The area under the curve $y = \left| {\cos \,x - \sin \,x} \right|$ , $0 \leq x \leq\frac{\pi }{2}$, and above $x-$ axis is

The minimum value of $\frac{\text{x}}{\log_{\text{e}}\text{x}}$ is .

The value of the integral $\int_0^{\log 5} {\frac{{{e^x}\sqrt {{e^x} - 1} }}{{{e^x} + 3}}} \,dx = $

Let $f(x)$ be differentiable on the interval $(0, \infty)$ such that $f(1)=1$, and $ \text {limt} _\rightarrow x \frac{t^2 f(x)-x^2 f(t)}{t-x}=1$ for each $x>0$. Then $f(x)$ is