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  4. The degree of the equation e x ( d 2 y / dx 2)+ sin (( dy / dx ))=3 is

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Q. The degree of the equation $e ^{ x } \frac{ d ^{2} y }{ dx ^{2}}+\sin \left(\frac{ dy }{ dx }\right)=3$ is

Differential Equations

Solution:

The given differential equation is
$e ^{ x } \frac{ d ^{2} y }{ dx ^{2}}+\sin \left(\frac{ dy }{ dx }\right)=3$
Since, this differential equation is not a polynomial in terms of its derivatives.
$\therefore $ Its degree is not defined.