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Solve the following differential equation. dydx+y = 3 - Mathematics and Statistics

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प्रश्न

Solve the following differential equation.

`dy/dx + y` = 3

बेरीज
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उत्तर

`dy/dx + y` = 3

The given equation is of the form

`dy/dx + py = Q`

where, P = 1 and Q = 3

∴ I.F. = `e int^(pdx) = e int^ (1dx) = e^x`

∴ Solution of the given equation is

`y(I.F.) = int Q(I.F.) dx + c`

∴ `ye^x = int 3e^x dx + c`

∴ yex = 3ex + c

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पाठ 8: Differential Equation and Applications - Exercise 8.5 [पृष्ठ १६८]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 8 Differential Equation and Applications
Exercise 8.5 | Q 1.2 | पृष्ठ १६८

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