The order of the differential equation d2ydt2 - dy-dt 3 - y4 -e -t is

Given differential equation d^2ydt^2 + ( dy/dt )^3 + y^4 =e ^ t nbsp; Highest order nbsp;derivative is nbsp;d^2ydt^2 Hence order nbsp; = 2 ...

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The order of ...

Question

The order of the differential equation $\frac{d^{2} y}{d t^{2}}$ + ${(\frac{d y}{d t})}^{3}$ + $y^{4} = e^{- t}$ is

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\frac{d^{2} y}{d x^{2}} = \sqrt{1 + {(\frac{d y}{d x})}^{2}}

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

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

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

\frac{d^{2} y}{d x^{2}} - {(\frac{d y}{d x})}^{2} = 1

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