To determine the order and degree of the differential equation, follow these steps:
1. Order: The order of a differential equation is the highest order derivative present in the equation. In the given equation: \[ \left[ 1 + \left(\frac{dy}{dx}\right)^2 \right]^3 = \frac{d^2y}{dx^2}, \] the highest derivative is \(\frac{d^2y}{dx^2}\).
Thus, the order of the equation is \(2\). 2. Degree: The degree of a differential equation is defined as the power of the highest order derivative, provided the equation is free from radicals and fractional powers of the derivatives.
In this case, \(\frac{d^2y}{dx^2}\) appears to the first power, and there are no fractional powers of \(\frac{d^2y}{dx^2}\) in the equation.
Thus, the degree of the equation is \(1\). Hence, the order and degree of the given differential equation are \(2\) and \(1\), respectively, and the correct answer is (C).
\[ \begin{array}{|c|c|c|c|} \hline \textbf{S\_id} & \textbf{S\_name} & \textbf{Address} & \textbf{S\_type} \\ \hline S001 & Sandhya & Rohini & Day Boarder \\ S002 & Vedanshi & Rohtak & Day Scholar \\ S003 & Vibhu & Raj Nagar & NULL \\ S004 & Atharva & Rampur & Day Boarder \\ \hline \end{array} \]
\[ \begin{array}{|c|c|c|} \hline \textbf{S\_id} & \textbf{Bus\_no} & \textbf{Stop\_name} \\ \hline S002 & TSS10 & Sarai Kale Khan \\ S004 & TSS12 & Sainik Vihar \\ S005 & TSS10 & Kamla Nagar \\ \hline \end{array} \]
Sangeeta is a Python programmer working in a computer hardware company. She has to maintain the records of the peripheral devices. She created a csv file named Peripheral.csv
to store the details. Structure of Peripheral.csv
:
\begin{tabular}{|c|c|c|} \hline \textbf{P\_id} & \textbf{P\_name} & \textbf{Price} \\ \hline \end{tabular}
P\_id
is the Peripheral device ID (integer).P\_name
is the Peripheral device name (string).Price
is the Peripheral device price (integer).Sangeeta wants to write the following user-defined functions:
Add\_Device()
: To accept a record from the user and add it to the CSV file, Peripheral.csv
.Count\_Device()
: To count and display the number of peripheral devices whose price is less than 1000.Consider a binary file, items.dat
, containing records stored in the given format:
Write a function, Copy\_new()
, that copies all records whose amount
is greater than 1000 from items.dat
to new\_items.dat
.