Year 12 Maths - Specialist (Unit 3 & Unit 4)
Differential equations
Euler's method
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Question 1
197219
For the differential equation \(\dfrac{dy}{dx}=f(x,y)\), Euler's method estimates the next \(y\)-value from the current point \((x_n,y_n)\) and step size \(h\). Which formula is the Euler update?
\(y_{n+1}=y_n+h\,f(x_n,y_n)\)
\(y_{n+1}=y_n+f(x_n,y_n)\)
\(y_{n+1}=y_n-h\,f(x_n,y_n)\)
\(y_{n+1}=x_n+h\,f(x_n,y_n)\)
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