NAME: ________________________

# ← Test 1Test

### Question Limit

of 26 available terms

### 5 Matching Questions

1. Superposition for HOMOGENEOUS
2. Mixing Problem
3. Runge Kutta 2nd order
4. Sink (attractor)
5. Times in Euler's method
1. a Stable equilibrium on phase line
2. b x= amount of salt present
(dx)/(dt)=rate in-rate out
rate in=(flow rate in)*(concentration in)
3. c If y1 and y2 are solutions then
cy1+ky2 is also a solution
4. d t0= starting t
t1=t0+h etc.
5. e k1= same slope as in Euler
k2= slope at point
(t0+(h/2),y value on first tangent line at half step)
y1=y0+k2*h

### 5 Multiple Choice Questions

1. y=ce^(kt)
2. y,y',y'', etc all on first power. (t can be not linear)
3. Solutions diverge from it
4. can be written as
y'=f(y)*g(t)
5. Highest derivative

### 5 True/False Questions

1. Stable EquilibriumSolutions diverge from it

2. Logistic Equation(dy)/(dt)= (r-ay)y = ry-ay^2
Limit L=r/a
(dy)/(dt)=r(1-y/L)y

3. Homogeneous DEHighest derivative

4. Newton's Law of Coolingy0= strting y
y1=y0+h*y'(at starting point)
etc.

5. Needs Euler methodn, h, starting point, y'