PR$-$S$1$: Eliminate the arbitrary constants in the differential equations. BOX your final answers and identify each final answer on ODE$/$PDE$,$ its order, its degree, and Linear$/$Non$-$linear. Thank you!

$y=C_1{e}^x{C}_2{e}^{2x}{C}_3{e}^{3x}$

$y=4A{x}^{4}3B{x}^{3}2C{x}^{2}Dx$

$y=C_1{x}^3{C}_2{x}^2$

$y^{3}2x{y}^2-ysin(x^2)=C$

$cosxsinx=xyC$