The degree of the differential equation ${\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^2} + {\left( {\frac{{dy}}{{dx}}} \right)^2} = x\sin \left( {\frac{{dy}}{{dx}}} \right)$ is
The degree of the differential equation ${\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^2} + {\left( {\frac{{dy}}{{dx}}} \right)^2} = x\sin \left( {\frac{{dy}}{{dx}}} \right)$ is
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VVidaara Team
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The degree of above differential equation is not defined because when we expand $\sin \left( {\frac{{dy}}{{dx}}} \right)$
we get an infinite series in the increasing powers of $\frac{{dy}}{{dx}}$.
Therefore its degree is not defined.
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