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Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
Question
Determine order and degree (if defined) of differential equation: y" + (y')2 + 2y = 0 
✓

Answer

It is given that equation is y’’ + (y’)2 + 2y = 0
We can see that the highest order derivative present in the differential is y”.
Thus, its order is two.
Highest power raised to y” is 1
Therefore, its degree is one.

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