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7. Determine order and degree (if defined) of differential equation

       y''' + 2y'' + y' =0

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Given function is
y''' + 2y'' + y' =0
Now, it is clear from the above that, the highest order derivative present in differential equation is  y^{'''}

Therefore, order of given differential equation  y''' + 2y'' + y' =0 is  3
Now, the given differential equation is  a polynomial equation in it's derivatives y^{'''} , y^{''} \ and \ y^{'}   and power raised to y^{'''}  is 1
Therefore, it's  degree is 1

Posted by

Gautam harsolia

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