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Which of the following is a second order...

Which of the following is a second order differential equation

A

`(y')^(2)+x=y^(2)`

B

`y' y''+y=sin x`

C

`y'''+(y'')^(2)+y=0`

D

`y'=y^(2)`

Text Solution

AI Generated Solution

To determine which of the provided options is a second order differential equation, we need to analyze each option and identify the highest order of the derivative present in each equation. The order of a differential equation is defined as the highest derivative that appears in the equation. Let's go through each option step by step: ### Step 1: Analyze Option 1 **Equation:** \( y'^{2} + x = y^{2} \) - The highest derivative present is \( y' \) (the first derivative). ...
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