Define degree of a differential equation. - Vidyadip

Question

Define degree of a differential equation.

✓

Answer

Degree of differential equation:
The degree of a differential equation is the power of the highest order derivative occurring in a differential equation when it is written as a polynomial in differential equation.
example: $\Big(\frac{\text{d}\text{y}}{\text{dx}}\Big)^{2}-4(\frac{\text{dy}}{\text{dx}})=2\text{y}$
the degreen of the given differential equation 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 "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

Integrate the following functions w.r.t. x:

$3 \sec ^2 x-\frac{4}{x}+\frac{1}{x \sqrt{x}}-7$

Let $f(x)=x^5+2 x-3$. Find $\left(f^{-1}\right)^{\prime}(-3)$.

Write the degree of the differrntial equation $\frac{\text{d}^{2}\text{y}}{\text{dx}^{2}}+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{\frac{1}{4}}+\text{x}^{\frac{1}{5}}=0.$

Test whether the following functions are increasing or decreasing.

$f(x)=2-3 x+3 x^2-x^3, x \in R$.

State if the following is not the probability mass function of a random variable. Give reasons for your answer

X	$3$	$2$	$1$	$0$	$−1$
P(Z)	$0.3$	$0.2$	$0.4$	$0$	$0.05$

Find the vector equation of the line passing through the point having position vector $4 \hat{ i }-\hat{ j }+2 \widehat{ k }$ and parallel to the vector $-2 \hat{ i }-\hat{ j }+\widehat{ k }$

$\int_0^1 \frac{x^2-2}{x^2+1} \cdot d x$

Diffrentiate the following w. r. t. x.
$\sin ^{-1}\left(x^{\frac{3}{2}}\right)$

The following is the p.d.f. of r.v. X: $f(x)=\frac{x}{8}$, for $0

Find the vector equation of the line passing through $\mathrm{A}(1,2,3)$ and $\mathrm{B}(2,3,4)$.