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Determine the order and degree of the following differential equations. Solution D.E. y = 1 − logx x2d2ydx2=1 - Mathematics and Statistics

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Question

Determine the order and degree of the following differential equations.

Solution D.E.
y = 1 − logx `x^2(d^2y)/dx^2 = 1`
Sum

Solution

y = 1 – log x

Differentiating w.r.t. x, we get

`dy/dx = -1/x`

Again, differentiating w.r.t. x, we get

`(d^2y)/dx^2 = 1/x^2`

∴ `x^2(d^2y)/dx^2 = 1`

∴  Given function is a solution of the given differential equation.

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Chapter 8: Differential Equation and Applications - Exercise 8.1 [Page 162]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Exercise 8.1 | Q 2.4 | Page 162

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