Find the order and degree of `(dy)/(dx)=e^x`

Find the order and degree of (d^2y)/dx^2+3(dy)/(dx)=ysin((d^2y)/dx^2)

Find the order and degree of (x+y-3)dx+(x^2+3x+y)dy=0 and also state whether they are linear or non-linear.

Find order and degree: cos(dy/dx)=x+y

Find order and degree: e^(dy/dx)=x^2+1

Find order and degree: log_e(1+(d^2y)/dx^2)=x

Find order and degree: e^(dy/dx)=(1+(d^2y)/dx^2)

Find the order and degree (if defined) of the equation: (d^3y)/(dx^3)=x ln((dy)/(dx))

Find the order and degree of the differential equation (dy)/(dx)+sin((dy)/(dx))=0

Find the order and degree, if defined, of each of the following differential equations:(i) (dy)/(dx)-cosx=0 (ii) x y(d^2y)/(dx^2)+x((dy)/(dx))^2-y(dy)/(dx)=0 (iii) y^(primeprimeprime)+y^2+e^(y^prime)=0

Find the order and degree (if defined) of the equation: (d^2y)/(dx^2)={1+((dy)/(dx))^4}^(5/3)