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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Solve: dddydx=ysin2x - Business Mathematics and Statistics

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Question

Solve: `("d"y)/("d"x) = y sin 2x`

Sum

Solution

`("d"y)/("d"x) = y sin 2x`

⇒ `("d"y)/y = sin 2x  "d"x`

Integrating on both sides

`int 1/y "d"y = int sin 2x  "d"x`

⇒ log y = `(- cos 2x)/2 + "c"`

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Solution of First Order and First Degree Differential Equations
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Chapter 4: Differential Equations - Exercise 4.2 [Page 88]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 4 Differential Equations
Exercise 4.2 | Q 6. (i) | Page 88
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