Questions in diff-equation

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The differential equation $\frac{{{d}^{2}}y}{d{{x}^{2}}}+x\frac{dy}{dx}+\sin y+{{x}^{2}}=0$ is of the following type
The differential equation $x{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}+{{\left( \frac{dy}{dx} \right)}^{4}}+y={{x}^{2}}$ is of
If m and n are the order and degree of the differential equation ${{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{5}}+4\frac{{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}}{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}+\frac{{{d}^{3}}y}{d{{x}^{3}}}={{x}^{2}}-1$, then
The second order differential equation is
The order and degree of the differential equation $x\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}+{{y}^{2}}=0$ are respectively
The order and degree of the differential equation $\rho =\frac{{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{3/2}}}{{{d}^{2}}y/d{{x}^{2}}}$ are respectively
Order of the differential equation of the family of all concentric circles centered at (h, k) iS
The degree of differential equation $\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{3}}+6y=0$ is
The order and degree of the differential equation ${{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}+{{\left( \frac{dy}{dx} \right)}^{4}}-xy=0$ are respectively
$\frac{{{d}^{3}}y}{d{{x}^{3}}}+2\,\left[ 1+\frac{{{d}^{2}}y}{d{{x}^{2}}} \right]=1$ has degree and order as

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