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The degree of the differential equation $\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx}\bigg)^3$$+6y^5=0$ is\[(A)\;1\quad(B)\;2\quad(C)\;3\quad(D)\;5\]

1 Answer

  • The degree of a differential equation is the power to which is the highest order is raised to.
Given $\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx}\bigg)^3$$+6y^5=0$
This is a non linear differential equation
The highest order of this equation is $2$ and which is raised to power $1$ which implies its degree is $1$
Hence $A$ is the correct answer
answered May 16, 2013 by meena.p

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