Write the degree of the differential equation - dydx 4 - 3y d2ydx2 - 0

Here, highest order derivative is d^2ydx^2 , whose degree is one. So, degree of differential equation is one. ...

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Order of a Differential Equation

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Question

Write the degree of the differential equation : ${(\frac{d y}{d x})}^{4} + 3 y (\frac{d^{2} y}{d x^{2}}) = 0$

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\frac{d^{2} y}{d x^{2}} = \sqrt[3]{1 + (\frac{d y}{d x})^{4}}

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\frac{d^{2} y}{d x^{2}} = \sqrt[3]{1 + (\frac{d y}{d x})^{4}}

\frac{d^{4} y}{d x^{4}} + (\frac{d^{3} y}{d x^{3}})^{2} + (\frac{d^{2} y}{d x^{2}})^{3} + (\frac{d y}{d x})^{4} = 0

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