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

• -3

• -1

• 2

• 5

• 10

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

Find the solution to the differential equation satisfying f(0) = 1/2, then find f(1).

(a)  

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

•  $y=2\sin\left(4x\right)$  

•  $y=3e^{2x}$  

•  $y=Ce^{4x},\$  where C is a constant

Which equation below represents the slope field?

• dy/dx = x - 2

• dy/dx = 1/2x + 1

• dy/dx =1/2 y - 2

• dy/dx = y + 2

Tags

CCSS.8.EE.C.8B

Find the integral:

• 1/8(4x² + 3)⁴ + c

• 1/2(4x² + 3)⁴ + c

• 1/32(4x² + 3)⁴ + c

• 1/4(4x² + 3)⁴ + c

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

• $|y|=Ce^{-\sin\left(x\right)}$

• $|y|=Ce^{\sin\left(x\right)}$

• $|y|=Ce^{-\cos\left(x\right)}$

• $|y|=Ce^{\cos\left(x\right)}$

• $|y|=-Ce^{\cos\left(x\right)}$

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

• 
• 
• 
• 

Which choice below represents this slope field?

• dy/dx = 2x

• dy/dx = -x

• dy/dx = yx

• dy/dx = x²