Solve the given differential equation using an appropriate method. Some equations are separable and some are linear. If an initial condition is not given, solve for the general solution. 6. 2y' = x (e²²/4 + y); c(e*/* +y); y(0)=−2 7. y' cos x = y² sinx+ sin x; y(0) = 1 8. y' = e²-3xy, x>0; y(1) = 1 x2 9. xy' = x (x+1)y, x>0 10. y'=tan(x)y + 1, where 0 < x < π 2