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

Last updated at Aug. 14, 2023 by

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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

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