Differential Equations

Which functions below will have the same slope field? (choose all that apply)

• y = x² - 3

• y = x² + 4

• y = 2x - 5

• y = 2x²

Tags

CCSS.8.EE.C.8B

dy/dx = 4x/y.  Suppose y(0)=1
The particular solution is

• B
• C
• D
• E

A partial differential equation requires

• exactly one independent variable

• two or more independent variables

• more than one dependent variable

• equal number of dependent and independent variables

Which choice below represents this slope field?

• dy/dx = 2x

• dy/dx = -x

• dy/dx = yx

• dy/dx = x²

Find the mistake if possible:

• The Diff EQ is solved correctly

• Step 1 is incorrect. The separation of variables wasn't done correctly.

• Step 2 is incorrect. They didn't integrate x² correctly.

• Step 3 is incorrect. They didn't take the reciprocal of x³/3+C correctly.

Find f(1) given f'(x)

• -12

• 0

• 14

• 20