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Reference: Pearson Edexcel International A Level Pure Mathematics 4 Student Book. This module develops differential equations, numerical methods, further integration and vector applications.
Main skills from this lesson
A differential equation links a quantity to its rate of change. Separate variables where possible, integrate both sides and use initial conditions.
dy/dx = f(x)g(y)
Do not forget the constant before using conditions.
Numerical methods approximate roots or values. Show the iteration rule, starting value and stopping condition.
x_{n+1} = g(x_n)Round only at the final step unless instructed.
Some integrals need identities, substitution or parts. Choose the method that simplifies the expression fastest.
choose method -> integrate
Check by differentiating.
Continue with quizzes, flashcards, or games when you are ready.