differential equations

In drawing the slope field for the differential equation , I would place short slope lines of _________ at the points (0,1), (1,-1), and (2,-2)
  $\frac{dy}{dx}=2x-3y$  

Select all that apply

Consider the differential equation  $\frac{dy}{dx}=\frac{3x^2}{e^{2y}}$  .

(a)  

Of the following, which is a solution to the differential equation, select all that apply:
 $y''-6y'+8y=0$  

Which equation below represents the slope field?

Find the integral:

Find the general solution of the differential equation y’–ysin(x)=0.

Which slope field is represented by dy/dx = x²?

If $$h'\left(x\right)=k\left(x\right)$$  is a continuous function for all real numbers of x, then $$\int_{-1}^1k\left(5x\right)dx=$$  

If $$\frac{dy}{dx}=\frac{x^2}{y}$$  and $$x=0$$  when $$y=4,$$  then the solution to the differential equation is

Which choice below represents this slope field?