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Home  >>  CBSE XII  >>  Math  >>  Differential Equations
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Determine order and degree (if defined) of differential equation\[\frac{d^4y}{dx^4}+\sin(y''')=0\]

$\begin{array}{1 1} order4, degree3 \\order3, degree3 \\ order4, degree\;not\;defined \\order2, degree\; not\; defined \end{array} $

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  • The highest order derivative present in the differential equation determines the order of the equation.The power to which this derivative is raised determines the degree of the equation.
Step 1:
The highest order present in the differential equation is $\large\frac{d^4y}{dx^4}$.Hence the order is 4.
Step 2:
But it is not a polynomial equation in $y'''$,so its degree is not defined.
answered Jul 29, 2013 by sreemathi.v

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