嘉定一中AP选修课
AP Calculus BC
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Microeconomics
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Unit 8 练习
Unit 8 Practice: Differential Equations
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📝 5 道选择题
1. The general solution of dy/dx = 2x is:
A. y = x² + C
B. y = 2x + C
C. y = x²
D. y = 2x² + C
2. A slope field for dy/dx = -y would show:
A. Positive slopes for y < 0, negative for y > 0
B. All positive slopes
C. All negative slopes
D. Horizontal segments only
3. Euler's method with step size h=0.1 for y' = x + y, y(0)=1 gives y(0.1) ≈
A. 1.1
B. 1.0
C. 1.2
D. 0.9
4. The logistic growth model dy/dt = ky(1-y/L) has carrying capacity:
A. L
B. k
C. k/L
D. 1
5. The differential equation dy/dx = xy is separable. The first step is:
A. dy/y = x dx
B. dy = x² dx
C. y dy = x dx
D. Integrate both sides directly
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