#### Question

Determine order and degree(if defined) of differential equation y″ + (y′)^{2} + 2y = 0

#### Solution

y″ + (y′)^{2} + 2y = 0

The highest order derivative present in the differential equation is y″. Therefore, its order is two.

The given differential equation is a polynomial equation in y″and y' and the highest power raised to y″ is one.

Hence, its degree is one.

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Solution Determine Order and Degree(If Defined) of Differential Equation Y″ + (Y′)2 + 2y = 0 Concept: Order and Degree of a Differential Equation.