Download App

Differential Equations — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
Question
Write the order of the differential equation $1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=7\Big(\frac{\text{d}^{2}}{\text{dx}^{2}}\Big)^{3}.$
✓

Answer

We have,
$1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=7\Big(\frac{\text{d}^{2}}{\text{dx}^{2}}\Big)^{3}$
The order of a diffrential equation is the order of the highest order derivative.
Here, the deree must be 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 "Answer the following questions in short." from Differential Equations→Differential Equations — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Write the order of the differential equation of the famliy of circles of radius r.
→
Write the following compound statements symbolically:Nagpur is in Maharashtra and Chennai is in Tamil Nadu.
→
If X ~ B(n, p), E(X) = 12, V(X) = 4, then find n
→
The non zero vectors $\overline{ a }$ and $\overline{ b }$ are not collinear find the value of $\lambda$ and $\mu$ : if $\overline{ a }+3 \overline{ b }=2 \lambda \overline{ a }-\mu \overline{ b }$
→
Diffrentiate the following w. r. t. x.
$\sin ^4\left[\sin ^{-1}(\sqrt{x})\right]$
→
Write the degree of the differrntial equation $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{\frac{1}{4}}+\text{x}^{\frac{1}{5}}=0.$
→
Find mean for the following probability distribution.
X 0 1 2 3
P(X=x) $\frac{1}{6}$ $\frac{1}{3}$ $\frac{1}{3}$ $\frac{1}{6}$
→
If $A=\left[\begin{array}{cc}2 & 2 \\ -3 & 2\end{array}\right]$ and $B=\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right]$, then find the matrix $\left(B^{-1}\right.$ $\left.A^{-1}\right)^{-1}$
→
Solve the following differential equations.

$\log \left(\frac{d y}{d x}\right)=2 x+3 y$

→
Find the Cartesian co-ordinates of point whose polar co-ordinates are $\left(4, \frac{\pi}{3}\right)$
→