Differential Equations

Find the order and degree of the differential equation

 $\frac{d^3y}{dx^{3\ }}+y=0$  

 $\left(\frac{d^2y}{dx^2}\right)^{2\ }+\left(\frac{dy}{\left(dx\right)}\right)+2=0$  

 $y=x\ \left(\frac{dy}{dx}\right)+\frac{c}{\left(\frac{dy}{dx}\right)}$  

 $\frac{dy}{dx}+\sin\left(\frac{dy}{dx}\right)=0$  

 $\sqrt{\left(\frac{dy}{dx}\right)\ }-4\ \frac{dy}{dx}-7x=0$  

 $\alpha=\frac{\left[1+\left(\frac{dy}{dx}\right)^2\right]^{\frac{3}{2}}}{\frac{d^2y}{dx^2}}$  

 $\frac{d^5y}{dx^5}+\frac{d^2y}{dx^2}+e^{\left(\frac{dy}{dx}\right)}=0$  

 $y=x\left(\frac{dy}{dx}\right)+\sqrt{\left(a^2\left(\frac{dy}{dx}\right)^2+b^2\right)}$  

 $\frac{dy}{dx}+\sin\left(\frac{dy}{dx}\right)=0$