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The differential equation by eliminating arbitrary constants from bx + ay = ab is __________.

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Question

The differential equation by eliminating arbitrary constants from bx + ay = ab is __________.

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Solution

The differential equation by eliminating arbitrary constants from bx + ay = ab is `bbunderline((d^2y)/dx^2 = 0)`

Explanation

bx + ay = ab

Differentiating w.r.t. x, we get

`b+a  dy/dx = 0`

∴ `dy/dx = (-b)/a`

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

`(d^2y)/dx^2 = 0`

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Formation of Differential Equation by Eliminating Arbitary Constant
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Chapter 8: Differential Equation and Applications - Miscellaneous Exercise 8 [Page 172]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 8 Differential Equation and Applications
Miscellaneous Exercise 8 | Q 2.6 | Page 172
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