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Form the differential equation by eliminating arbitrary constants from the relation bx + ay = ab. - Mathematics and Statistics

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Question

Form the differential equation by eliminating arbitrary constants from the relation

bx + ay = ab.

Sum

Solution

Given relation is

bx + ay = ab

Differentiating w.r.t. x, we get

`b + a dy/dx = 0`

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

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

∴ `(d^2y)/dx^2 = 0`, which is the required differential equation.

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Formation of Differential Equation by Eliminating Arbitary Constant
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Chapter 8: Differential Equation and Applications - Exercise 8.2 [Page 163]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Exercise 8.2 | Q 3 | Page 163
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