The sum of the order and degree of the differ | vedclass

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(B) Given the differential equation: $\frac{d^4 y}{d x^4} = \{c + (\frac{d y}{d x})^2\}^{\frac{3}{2}}$.To find the degree,we must eliminate the fracti

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$6$

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(B) Given the differential equation: $\frac{d^4 y}{d x^4} = \{c + (\frac{d y}{d x})^2\}^{\frac{3}{2}}$.To find the degree,we must eliminate the fractional exponent by squaring both sides:$(\frac{d^4 y}{d x^4})^2 = \{c + (\frac{d y}{d x})^2\}^3$.The order of the differential equation is the highest derivative present,which is $4$.The degree is the power of the highest derivative after the equation is made a polynomial in derivatives,which is $2$.Therefore,the sum of the order and degree is $4 + 2 = 6$.

The sum of the order and degree of the differential equation $\frac{d^4 y}{d x^4}=\{c+(\frac{d y}{d x})^2\}^{\frac{3}{2}}$ is

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