Differential Equations Practice

Given the differential equation dP/Dt=5P

A) Find the general solution for P to the differential equation

B)Find the particular solution for P to the differential equation given P(0)= 418

• A) P=Ce^5t

  B) P= 5e^418t

• A) P=Ce^5t

  B) P= 418e^5t

• A) P=Ce^t

  B) P= 418e^t

• A) P=Ce^10t

  B) P= 418e^10t

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

dy/dx = 4x/y. Suppose y(0)=1

The particular solution is

• B

• C

• D

• E

Tags

CCSS.HSA.REI.A.1

The population of the little town of Scorpion Gulch is now 1000 people. The population is presently growing at about 5% per year.

Find the general solution.

• P=.05e^1000t

• P=1000e^5t

• P=1000e^.05t

• p=lne^1000t

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.B.5

• B
• C
• D
• E

Tags

CCSS.HSA.REI.D.11

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Differential equation for the slope field is?

• dy/dx = -x

• dy/dx = x²

• dy/dx = x/y

• dy/dx = y/x

Which curve solves the differential equation and passes through the point (0,2)?

• 
• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the equation.

• 
• 
• 
• 

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

∫(5x-1)dx

• 5x+1

• 10x

• 5x²/2 -x +c

• 10x²

Tags

CCSS.HSA.APR.A.1

∫(x+2)dx

• 3x+c

• 10x²

• 4x²+2

• x²/2 +2x+c