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Home  >>  CBSE XII  >>  Math  >>  Differential Equations
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Determine order and degree (if defined) of differential equation\[(y''')^2+(y'')^3+(y')^4+y^5=0\]

$\begin{array}{1 1}order3, degree2 \\order2, degree3 \\ order3, degree3 \\order2, degree2 \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 derivative present in the differential equation is $\large\frac{d^3y}{dx^3}$.So its order is 3.
Step 2:
It is polynomial equation in $y'''$ and the highest power raised to $\large\frac{d^3y}{dx^3}$ is $2$.So its degree is 2.
answered Jul 29, 2013 by sreemathi.v
 

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