Differential Equations Test

• B
• C
• D
• E

Tags

CCSS.HSA.REI.D.11

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

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^ln(5)t

• P=1000e^ln(1.05)t

• p=lne^1000t

2. Solve the differential equation

𝑑𝑦/𝑑𝑡 =3𝑡²/𝑦 with initial condition

𝑦(2) = 0.

• $y=\ln\left|15t\right|$

• $y=16t^3$

• $y\ =\ \sqrt{2t^3-16}$

• $y=2t^3-16$

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

The particular solution is

• B

• C

• D

• E

Tags

CCSS.HSA.REI.A.1

• A
• B
• D
• E

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

A puppy gains weight, w, at a rate approximately inversely proportional to its age, t, in months.

• A

• B

• C

• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

y is proportional to the product of z and the square root of x

• $y=zx^2$

• $y=kzx^2$

• $y=kz\sqrt{x}$

• $y=zkx$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Which of the following is the solution to the differential equation  $y^{''}-4y=0$  ?

•  $y=e^{-4x}$  

•  $y=2x^2$  

•  $y=e^{2x}$  

•  $y=e^{2x^2}$