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Solve the following differential equation: dydxkdydx=-k, where k is a constant. - Mathematics and Statistics

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Question

Solve the following differential equation:

`"dy"/"dx" = - "k",` where k is a constant.

Sum

Solution

`"dy"/"dx" = - "k",`

∴ dy = - k dx

Integrating both sides, we get

`int "dy" = - "k" int "dx"`

∴ y = - kx + c

This is the general solution.

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Formation of Differential Equations
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Chapter 6: Differential Equations - Exercise 6.3 [Page 201]

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