Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
- No direct alignment recorded
New NZC (2026)
NZC26-P4-ALG-ER-K-Y9-04
Resources
- Kuta Software - Separable Differential EquationsQuestions PDF · Answers
Terminology
- Differential equation
- Separation of variables
- General solution
- Particular solution
- Constant of integration
- Initial condition
- Rate of change
Task goals
- Foundation: Separate and integrate simple differential equations of the form dy/dx = f(x), such as dy/dx = 4x, to find a general solution.
- Proficient: Separate variables in equations of the form dy/dx = ky or dy/dx = f(x)g(y), integrate both sides, and use a given initial condition to find the particular solution.
- Excellence: Form and solve a differential equation from a real-world growth/decay or rate-of-change context, then interpret the solution to answer a question about the situation.
Where this fits
What leads into this objective, and where it goes next.
Before
Gradient
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Solving Differential Equations by Separation of Variables
Next
No further statements exist yet for the next step on this topic in the data.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.