Solve the initial value problem: y(z) arcsin -0.9x+ 4). +2 dy 33 -0.9 dx cos(y)' 9(0) The differential equation dy 12x+9 dx 9y+12y +8 has an implicit general solution of the form F(x, y) = K, where K is an arbitary constant. In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form Find such a solution and then give the related functions requested. F(x,y) G(x)+ H(y) = = F(x,y) G(x)+ H(y) = K. The differential equation dy 81 dx y1/5 + 81 x2 y1/5 has an implicit general solution of the form F(x, y) = K, where K is an arbitrary constant. In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form Find such a solution and then give the related functions requested. F(x,y) = G(x)+ H(y) F(x,y) = G(x)+ H(y) = K.