NAME: ________________________

# ← Test 1Test

### Question Limit

of 26 available terms

### 5 Matching Questions

1. Logistic Equation
2. Order of DE
3. Non-homogeneous principal
4. y in Euler's method
5. Variable coefficient DE
1. a There is a y with not a number in front of it.
2. b (dy)/(dt)= (r-ay)y = ry-ay^2
Limit L=r/a
(dy)/(dt)=r(1-y/L)y
3. c y=yh+yp
yh is the general solution to the associated homogeneous DE.
yp is a particular solution to the non-homog. DE.
4. d y0= strting y
y1=y0+h*y'(at starting point)
etc.
5. e Highest derivative

### 5 Multiple Choice Questions

1. The term without any y is 0.
2. y'=ky
3. y'+p(t)y=f(t)
Integrating factor: e^(integral p(t) dt)
Only for linear, first order DE!
4. can be written as
y'=f(y)*g(t)
5. Solutions converge to it

### 5 True/False Questions

1. Newton's Law of CoolingT= temperature of object, M constant temp.
(dT)/(dt)=k(M-T)

2. Mixing Problemx= amount of salt present
(dx)/(dt)=rate in-rate out
rate in=(flow rate in)*(concentration in)

3. Solution to y'=kyy=ce^(kt)

4. Needs Euler methody0= strting y
y1=y0+h*y'(at starting point)
etc.

5. Linear DEy,y',y'', etc all on first power. (t can be not linear)