# Fill in the blank: The differential equation by eliminating arbitrary constants from bx + ay = ab is __________. - Mathematics and Statistics

Fill in the Blanks

Fill in the blank:

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

#### 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