Questions in diff-equation

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The degree and order of the differential equation of the family of all parabolas whose axis is x–axis, are respectively
The degree of the differential equation ${{\left( 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right)}^{3/4}}={{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{1/3}}$ is
The order and degree of the differential equation $x\text{ }{{\left( \frac{dy}{dx} \right)}^{3}}+2\,{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{2}}+3y+x=0$ are respectively
The degree of the differential equation $\frac{{{d}^{2}}y}{d{{x}^{2}}}-\sqrt{\frac{dy}{dx}-3}=x$ is
The order of differential equations of all parabolas having directrix parallel to x-axis is
The degree of the differential equation $y(x)=1+\frac{dy}{dx}+\frac{1}{1.2}{{\left( \frac{dy}{dx} \right)}^{2}}+\frac{1}{1.2.3}{{\left( \frac{dy}{dx} \right)}^{3}}+...$ is
$y=4\sin 3x$is a solution of the differential equation
The differential equation of all the lines in the xy-plane is
The differential equation of the family of curves represented by the equation ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ is
$y=\frac{x}{x+1}$ is a solution of the differential equation

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