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# The degree of the differential equation $\large\bigg(\frac{d^2y}{dx^2}\bigg)^2+\bigg(\frac{dy}{dx}\bigg)^2$$=x\sin \bigg(\large\frac{dy}{dx}\bigg) is:$(A)\;1\quad(B)\;2\quad(C)\;3\quad(D)\;not\;defined$ Can you answer this question? ## 1 Answer 0 votes Toolbox: • If a differential equation cannot be expressed as a polynomial in differential coefficients, its degree cannot be defined. \large\bigg(\frac{d^2y}{dx^2}\bigg)^2+\bigg(\frac{dy}{dx}\bigg)^2$$=x\sin \bigg(\large\frac{dy}{dx}\bigg)$
The above differential equation cannot be expressed as a polynomial in differential coefficients. so its degree is not defined.
The correct option is $D$