The order and degree of the differential equa | vedclass

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(A) The given differential equation is $e^{\frac{d^2 y}{d x^2}} = x$. To find the order,we identify the highest order derivative present in the equati

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$2$ and not defined

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(A) The given differential equation is $e^{\frac{d^2 y}{d x^2}} = x$. To find the order,we identify the highest order derivative present in the equation,which is $\frac{d^2 y}{d x^2}$. Thus,the order is $2$. To find the degree,the differential equation must be a polynomial in terms of its derivatives. Since the term $\frac{d^2 y}{d x^2}$ appears in the exponent of $e$,the equation cannot be expressed as a polynomial in its derivatives. Therefore,the degree of this differential equation is not defined.

The order and degree of the differential equation $e^{\frac{d^2 y}{d x^2}} = x$ are . . . . . . respectively.

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