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The order and degree of the differential equation $y=x\frac{dy}{dx}+\sqrt{{{a}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}+{{b}^{2}}}$ are
The order of the differential equation of a family of curves represented by an equation containing four arbitrary constants, will be
The order and degree of the differential equation ${{\left[ 4+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{2/3}}=\frac{{{d}^{2}}y}{d{{x}^{2}}}$ are
A differential equation of first order and first degree is
The order and degree of the differential equation $\sqrt{\frac{dy}{dx}}-4\frac{dy}{dx}-7x=0$are
The order and degree of the differential equation $\frac{{{d}^{2}}y}{d{{x}^{2}}}=\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}$ is
The order and the degree of the differential equation ${{\left( \frac{{{d}^{2}}s}{d{{t}^{2}}} \right)}^{2}}+3{{\left( \frac{ds}{dt} \right)}^{3}}+4=0$are
The order and the degree of differential equation $\frac{{{d}^{4}}y}{d{{x}^{4}}}-4\frac{{{d}^{3}}y}{d{{x}^{3}}}+8\frac{{{d}^{2}}y}{d{{x}^{2}}}-8\frac{dy}{dx}+4y=0$ are respectively
The order of the differential equation ${{{y\left( \frac{dy}{dx} \right)=x}/{\frac{dy}{dx}+\left( \frac{dy}{dx} \right)}\;}^{3}}$ is
The order of the differential equation whose solution is ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$, is

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