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Solve the following differential equation: dddydx=1-y21-x2

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प्रश्न

Solve the following differential equation:

`("d"y)/("d"x) = sqrt((1 - y^2)/(1 - x^2)`

योग
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उत्तर

The equation can be written as

`("d"y)/sqrt(1 - y^2) = ("d"x)/sqrt(1 - x^2)`

Taking Integration on both sides, we get

`int ("d"y)/sqrt(1 - y^2) = int ("d"x)/sqrt(1 - x^2)`

sin–1y = sin1x + C

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Solution of First Order and First Degree Differential Equations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Ordinary Differential Equations - Exercise 10.5 [पृष्ठ १६१]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 10 Ordinary Differential Equations
Exercise 10.5 | Q 4. (i) | पृष्ठ १६१

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