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Find the differential equation of the following y = cx + c – c3 - Business Mathematics and Statistics

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प्रश्न

Find the differential equation of the following:

y = cx + c – c3

योग

उत्तर

y = cx + c – c3  ......(1)

Here c is a constant which has to be eliminated

Differentiating w.r.t x, `("d"y)/("d"x)` = c  .......(2)

Using (2) in (1) we get,

y = `(("d"y)/("d"x)) x + ("d"y)/("d"x) - (("d"y)/("d"x))^3`

Which is the required differential equation.

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Formation of Ordinary Differential Equations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Differential Equations - Exercise 4.1 [पृष्ठ ८५]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 4 Differential Equations
Exercise 4.1 | Q 2. (i) | पृष्ठ ८५
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