Download App

DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
Question
Determine order and degree (if defined) of differential equations given in Exercise.
$\bigg(\frac{\text{ds}}{\text{dt}}\bigg)^4 + 3\text{s} \frac{\text{d}^2\text{s}}{\text{dt}^2} =0$
✓

Answer

The given differential equation is
$\bigg(\frac{\text{ds}}{\text{dt}}\bigg)^4 + 3\text{s} \frac{\text{d}^2\text{s}}{\text{dt}^2} =0$
The highest order derivative present in the differential equation is $\frac{\text{d}^2\text{s}}{\text{dt}^2}$
$\therefore$ its order is 2
The highest power raised to $\frac{\text{d}^2\text{s}}{\text{dt}^2}$ is one, so its degree is 1.

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 "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

Show that an onto function f : {1, 2, 3} $\rightarrow$ {1, 2, 3} is always one-one.
→
Find an anti derivative (or integral) of the following function by the method of inspection.

$(\text{ax + b})^2$

→
Show that the matrix $\text{A}=\begin{bmatrix}0&1&-1\\-1&0&1\\1&-1&0\end{bmatrix}$is a symmentic matrix.
→
$f(x)=2 x, f: N \rightarrow N$, show that $f(x)$ is not onto.
→
Integrate the function w.r.t. x: 2x sin (x2 + 1)
→
Compute $\left[\begin{array}{ccc} {-1} & {4} & {-6} \\ {8} & {5} & {16} \\ {2} & {8} & {5} \end{array}\right]+\left[\begin{array}{ccc} {12} & {7} & {6} \\ {8} & {0} & {5} \\ {3} & {2} & {4} \end{array}\right]$
→
Find the value of $\int \frac{1}{x} d x$ :
→
Write the degree of the differrntial equation $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}+3\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=\text{x}^{2}\log\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big).$ 
→
In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random. If she reads English newspaper, find the probability that she reads Hindi newspaper.
→
Is the measure of 30 km/hr scalar or vector quantity?
→