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Vector Algebra

Question
CBSEENMA12032837
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Determine order and degree (if defined) of differential equations:
left parenthesis straight y to the power of straight m right parenthesis squared plus left parenthesis straight y to the power of straight m right parenthesis cubed plus left parenthesis straight y apostrophe right parenthesis to the power of 4 plus straight y to the power of 5 space equals space 0

Solution
The given differential equation is
(y''')2 + (y'')3 + (y')4 + y5 = 0
The highest order derivative present in the given differential equation is y''' and the index of its highest power is 2.
∴        the given differential equation is of order 3 and degree 2.

Some More Questions From Vector Algebra Chapter

Determine order and degree (if defined) of differential equations:
y' + y = ex

Determine order and degree (if defined) of differential equations:
y'' + (y')2 + 2 y = 0

Determine order and degree (if defined) of differential equations:
y″ + 2y′ + sin y = 0

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