Determine the order and degree of the following differential equation: dydxxdydxd2ydx2+x(dydx) + y = 2 sin x - Mathematics and Statistics

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Sum

Determine the order and degree of the following differential equation:

`("d"^2"y")/"dx"^2 + "x"("dy"/"dx")` + y = 2 sin x

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Solution

The given D.E. is

`("d"^2"y")/"dx"^2 + "x"("dy"/"dx")` + y = 2 sin x

This D.E. has highest order derivative `("d"^2"y")/"dx"^2` with power 1.

∴ the given D.E. is of order 2 and degree 1.

  Is there an error in this question or solution?
Chapter 6: Differential Equations - Exercise 6.1 [Page 193]

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