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
Terminology
- Second-order differential equation
- Auxiliary equation
- Characteristic equation
- Homogeneous equation
- Real distinct roots
- Repeated root
- Complex conjugate roots
- General solution
- Particular solution
Task goals
- Foundation: Find the auxiliary (characteristic) equation of a given second-order homogeneous differential equation and solve it for real, distinct roots to write the general solution.
- Proficient: Solve second-order homogeneous differential equations with repeated or complex conjugate roots, writing the general solution in the appropriate exponential, linear-exponential, or trigonometric form.
- Excellence: Apply given initial or boundary conditions to determine a particular solution of a second-order differential equation, including in an applied context such as motion or growth/decay.
Where this fits
What leads into this objective, and where it goes next.
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Gradient
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Solving Second-Order Differential Equations
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For teachers
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