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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

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

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प्रश्न

Solve the following differential equation:

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

बेरीज
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उत्तर

`"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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पाठ 6: Differential Equations - Exercise 6.3 [पृष्ठ २०१]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 6 Differential Equations
Exercise 6.3 | Q 2.06 | पृष्ठ २०१

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