Standard #: MAFS.912.C.5.2 (Archived Standard)


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Solve separable differential equations, and use them in modeling.


Remarks


Example 1: Solve and find a general solution to the following differential equation:.

Example 2: A certain amount of money, P, is earning interest continually at a rate of r. Write a separable differential equation to model the rate of change of the amount of money with respect to time.

General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Calculus
Cluster: Applications of Integration - Apply knowledge about integrals to finding velocities from accelerations, solving separable differential equations, and finding areas and volumes. Apply integration to model, and solve problems in physics, biology, economics, etc. Find velocity functions and position functions from their derivatives, solve separable differential equations, and use definite integrals to find areas and volumes.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Resources

Perspectives Video: Expert

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Birdsong Series: Mathematically Modeling Birdsong

Richard Bertram discusses his mathematical modeling contribution to the Birdsong project that helps the progress of neuron and ion channel research.

Download the CPALMS Perspectives video student note taking guide.

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