Differential equations

Solve separable equations, retain initial-value domains and excluded solutions, then formulate and interpret changing-quantity models.

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Solve separable equations, retain initial-value domains and excluded solutions, then formulate and interpret changing-quantity models.

Learning goals
  • Formulate, solve and interpret separable differential equations
Syllabus statements covered
  • Include: general and particular solutions of dy/dx = f(x)g(y), including reducing to this form by a given substitution; formulating a differential equation from a problem situation; interpreting an equation and its solution contextually.
  • Include: general and particular solutions of dy/dx = f(x)g(y), including reducing to this form by a given substitution; formulating a differential equation from a problem situation; interpreting an equation and its solution contextually.

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Separation, initial values and lost solutions

Retain equilibrium solutions, transform derivatives and initial-value domains, and formulate rate models with physical limits.

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