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What's on the worksheet
- For each initial value problem, find d²ydx² in terms of x and y.\dfrac{dy}{dx} = x^2 + y, y(0) = 1\dfrac{dy}{dx} = e^{-y}, y(0) = 0\dfrac{dy}{dx} = -2xy, y(0) = 1
- Use Euler's method with h = 0.5 to estimate y(2.5) for dydx = 4x - y, y(1) = 3.
- Consider dydx = xy with y(0) = 1.
- Consider dydx = xy² with y(0) = 1.
- Layla starts an online petition for a crosswalk near her school.
- Mateo drops an ice cube of volume 8\ cm³ into a glass of juice.
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Euler's method: the lesson ›More Chapter 4 worksheets: Differential equations: logistic growth and Euler's method
- 4.1Euler's method
- 4.2Logistic growth