Example 1 (ii) - Chapter 9 Class 12 Differential Equations

Last updated at August 19, 2026 by

Example 1 (ii) - Find order and degree of xyy'' + x(y')^2 - yy' = 0 - Examples

Remove Ads Take short quiz All Quiz and Worksheets
Teachoo · Class 12 Explore Class 12

Transcript

Example 1 Find the order and degree, if defined , of each of the following differential equations : (ii) 𝑥𝑦 (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑥(𝑑𝑦/𝑑𝑥)^2−𝑦 𝑑𝑦/𝑑𝑥=0 𝑥𝑦 (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑥(𝑑𝑦/𝑑𝑥)^2−𝑦 𝑑𝑦/𝑑𝑥=0 𝑥𝑦𝑦^′′+𝑥(𝑦^′ )^2−𝑦𝑦^′=0 Highest order of derivative = 2 ∴ Order = 𝟐 Degree = Power of 𝑦^′′ Degree = 𝟏

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.