Maharashtra State BoardHSC Commerce 12th Board Exam
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Fill in the blank: The differential equation by eliminating arbitrary constants from bx + ay = ab is __________. - Mathematics and Statistics

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Fill in the Blanks

Fill in the blank:

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 `(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`

Concept: Formation of Differential Equation by Eliminating Arbitary Constant
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APPEARS IN

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