Maharashtra State BoardHSC Arts 12th Board Exam
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Solve the differential equation y-xdy/dx=0 - Mathematics and Statistics

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Solve the differential equation `y-xdy/dx=0`

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Solution

 

`y-x(dy/dx)=0`

`y=x dy/dx`

`dx/x=dy/y`

Integrating on both sides, we get

`intdx/x=intdy/y`

log|x|=log|y|+log|c|

log|x|=log|cy|

x=cy

Concept: Methods of Solving First Order, First Degree Differential Equations - Differential Equations with Variables Separable Method
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