Download App

Differential Equations — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
Question
Write the degree of the following differrntial equation?
$5\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}-\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}-6\text{y}=\log\text{x}$
✓

Answer

$5\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}-\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}-6\text{y}=\log\text{x}$
Here, we see that the highest order derivative is $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}$ and its power is 1.
Therefore, the given differential equation is of first degree.

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

Evaluate:
$\int \frac{\cos 2 x}{\sin ^2 x} \cdot d x$
→
Evaluate : $\int_0^2 e^x d x$
→
Evaluate the following :

$\int \frac{1}{\sqrt{(x-3)(x+2)}} \cdot d x$

→
In a certain city there are 30 colleges. Each college has 15 peons, 6 clerks, 1 typist and 1 section officer. Express the given information as a column matrix. Using scalar multiplication, find the total number of posts of each kind in all the colleges.
→
If the vectors $2 \hat{i}-3 \hat{j}+4 \hat{k}$ and $p \hat{i}+6 \hat{j}-8 \hat{k}$ are collinear, then find the value of $p$.
→
Differentiate $y =\sqrt{x^2+5}$ w.r. to $x$
→
Show the solution sets for the following inequations graphically : $4 x-5 y \leq 20$
→
The following is the p.d.f. of continuous r.v. X $f(x)=\frac{x}{8}$, for $0<x<4$ and $=0$ otherwise.
Find $F(x)$ at $x=0.5,1.7$ and 5 .
→
Test whether the following functions are increasing or decreasing.

$f(x)=x^3-6 x^2+12 x-16, x \in R$

→
If $X \sim B (n, p)$ and $n=10, E ( X )=5$, then find the value of $p$.
→