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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Determine the order and degree of the following differential equations. 1+1(dydx)2=(dydx)32 - Mathematics and Statistics

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प्रश्न

Determine the order and degree of the following differential equations.

`sqrt(1+1/(dy/dx)^2) = (dy/dx)^(3/2)`

बेरीज
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उत्तर

`sqrt(1+1/(dy/dx)^2) = (dy/dx)^(3/2)`

Squaring on both sides, we get

`1 + 1/(dy/dx)^2 = (dy/dx)^3`

∴ `(dy/dx)^2 +1 = (dy/dx)^5`

By definition of order and degree,

Order : 1 ; Degree : 5

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पाठ 8: Differential Equation and Applications - Exercise 8.1 [पृष्ठ १६२]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 8 Differential Equation and Applications
Exercise 8.1 | Q 1.5 | पृष्ठ १६२

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