Download App

DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
Question
Write the degree of the following differrntial equation $\text{x} \Big(\frac{\text{dy}}{\text{dx}}\Big)^{3}+\text{y}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{4}+\text{x}^{3}=0.$
✓

Answer

$\text{x} \Big(\frac{\text{dy}}{\text{dx}}\Big)^{3}+\text{y}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{4}+\text{x}^{3}=0$
Here, we see that the highest order derivative is $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}$ and its power is 3.
Therefore, the given differential equation is of first degree 3.

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 Question" 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

Write $\overrightarrow{\text{PQ}}+\overrightarrow{\text{RP}}+\overrightarrow{\text{QR}}$ in the simplified form.
→
Represent graphically a displacement of 40 km, 30° east of north.
→
A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of 0.05 cm/s. Find the rate at which its area is increasing when radius is 3.2 cm.
→
If $f(x)=\int_{0}^{x} t \sin t d t$, then f'(x) is
→
The number of all possible matrices of order $3 \times 3$ with each entry $0$ or $1$ is
→
Find the principal value of $\cos ^{-1}\left(\frac{1}{\sqrt{2}}\right)$
→
Find the intervals in which the function f given by $f(x) = \sin x + \cos x,0 \leq x \leq 2\pi $ is increasing or decreasing.
→
For what value of x, is the following matrix singular?
$\begin{vmatrix} \text{3-2x} & \text{x + 1} \\ 2 & 4 \\ \end{vmatrix}$.
→
Find the vector equation of the plane with intercepts $\text{3, -4 and 2 on } x, y \text{ and } z-\text{axis}$ respectively.
→
Find the slope of the tangent to the curve $y = 3x^4 - 4x$ at $x = 4$.
→