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

Sum

Determine the order and degree of the following differential equation:

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

#### 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.

Concept: Order and Degree of a Differential Equation
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