Question

Determine order and degree (if defined) of differential equation given
$(y^{\prime \prime \prime }{)}^2+(y^{\prime \prime }{)}^3+(y^{\prime }{)}^4+y^5=0$

Answer 1

order and degree
Given differential equation is $(y^{\prime \prime \prime }{)}^2+(y^{\prime \prime }{)}^3+(y^{\prime }{)}^4+y^5=0$
Highest order of derivative $=3$ therefore, Order $=3$
Degree $=$ Power of highest order derivative.
Therefore, Degree $=2$
Final answer:
Hence, order $=3$ and Degree $=2$