Differential equation compute or label (classification) degree order linear/ non-linear ode/ pde = 10 ax axay 2 lin pde dy non lin -2x 3sin(x)-sin (y) 5 dx ode d2 sin(y)을-(1-y)으+y'e" lin ode dx dx 4 dy +y= 0 d3y non ode dx3 dx. lin ii) (6 points): answer the following question: dy consider the differential equation ; y(0) = 1. use the x-y dx existence and uniqueness theorem to answer the following questions: fxy (0,1) is/is not continuous near & f ay (0,1) is/is not continuous near therefore the solution to the differential equation iexists and is unique(the uniqueness of solution is guaranteed) ii. exists but is not iii. does not exist unique(the uniqueness of solution is not guaranteed)