Download App

Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
Question
Write the degree of the differrntial equation $\Big(1+\frac{\text{dy}}{\text{dx}}\Big)^{3}=\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big)^{2}.$
✓

Answer

$\Big(1+\frac{\text{dy}}{\text{dx}}\Big)^{3}=\Big(\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}\Big)^{2}$
Here, the highest 2 order derivative is $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}$ and its power 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 "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

Examine whether the function f given by $f(x) = x^2$ is continuous at $x = 0.$
→
How many arbitray constants are there in the genral solution of the differential equation of orader 3.
→
Write the value of p for which $\overrightarrow{a} = 3\hat{i} + 2\hat{j} + 9\hat{k}$ and $\overrightarrow{b} = \hat{i} + \text{p}\hat{j} + 3\hat{k}$ are parallel vectors.
→
Write an anti derivative of function cos 2x using the method of inspection.
→
Write the equation of a plane which is at a distance of $5\sqrt{3}$ units from origin and the normal to which is equally inclined to coordinate axes.
→
If the cartesian equations of a line are$\frac{3 - \text{x}}{5} = \frac{\text{y} + 4 }{7} = \frac{2\text{z} - 6 }{4},$ write the vector equation for the line.
→
Find the equation of normal at point $(1,2)$ on the curve $y=x^2+1$.
→
Choose the correct answer in the Exercise : The normal at the point $(1, 1)$ on the curve $2y + x^2 = 3$ is :
→
Find an anti derivative (or integral) of the following function by the method of inspection.
$\sin2\text{x}-4\text{ e}^{3\text{x}}$
→
Integrate the function $\tan^{-1}x$
→