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Outline
Differential equation Material
First Order
Differential equation Material
Author:
Jila
Topic:
Differential Equation
First Order
Slope field- first order differential equations
Euler Method with 100 points. Enter the function, the initial point and the step size. Use the spread sheet to find the numerical estimate.
How does Euler method work?
Slope field- first order differential equations y'=x^2-y
Slope field- first order differential equations y'=-y/x
Slope field- first order differential equations y'=3y^(2/3)
Population Exponential Growth Slope field- first order differential equations
Population Logistic Slope field- first order differential equations
Exitance and Uniqueness when domain is 2e^{2x}\cos(2y)+e^y+y neq 0
Euler
Euler x^2/y
y^(1/2) Picards iteration
Picard–Lindelöf Iteration When h(x,y) and h_y(x,y) Are Bounded and Continuous Everywhere and the solution is defined everywhere.
y^(2) Picards iteration
Neighborhoods in R^2
Next
Slope field- first order differential equations
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