separation of variables
What separation of variables means in Mathematics A-Level, as defined for WJEC.
Definitions of separation of variables
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Reference: WJEC
A method for solving first order differential equations of the form dy/dx = f(x)g(y) by rewriting as ∫ (1/g(y)) dy = ∫ f(x) dx.
Collecting all terms in y with dy and all terms in x with dx in a first-order differential equation.
Topics that use separation of variables
- Integration (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
- Integration (A2 Unit 4: Applied Mathematics B) (WJEC A-Level)
Related terms
- Area between curves
- asymptotic limits
- boundary condition substitution
- common factors
- Definite integral
- enclosed regions
- exact logarithmic limits
- general solution
Using separation of variables in the exam
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