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For the following equations, determine its order, degree (if exists) dddddydx-4dydx-7x = 0 - Mathematics

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प्रश्न

For the following equations, determine its order, degree (if exists)

`sqrt(("d"y)/("d"x)) - 4 ("d"y)/("d"x) - 7x` = 0

योग

उत्तर

`sqrt(("d"y)/("d"x)) = 4 ("d"y)/("d"x) + 7x`

On squaring both sides,

`("d"y)/("d"x) = 16(("d"y)/("d"x))^2 + 49x^2 + 56x ("d"y)/("d"x)`

clearly, it is a differential equation of order = 1 and degree = 2.

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Differential Equation, Order, and Degree
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Ordinary Differential Equations - Exercise 10.1 [पृष्ठ १४८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 10 Ordinary Differential Equations
Exercise 10.1 | Q 1. (iv) | पृष्ठ १४८

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