IB DP Maths: AI HL复习笔记5.6.2 Separation of Variables
Separation of Variables
What is separation of variables?
- Separation of variables can be used to solve certain types of first order differential equations
If the equation is in that form you can use separation of variables to try to solve it- If the equation is not in that form you will need to use another solution method
How do I solve a differential equation using separation of variables?
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- Mathematically that’s not quite what is actually happening, but it will get you the right answer here!
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- STEP 3: Work out the integrals on both sides of the equation to find the general solution to the differential equation
- Don’t forget to include a constant of integration
- Although there are two integrals, you only need to include one constant of integration
- Don’t forget to include a constant of integration
- STEP 4: Use any boundary or initial conditions in the question to work out the value of the integration constant
- STEP 5: If necessary, rearrange the solution into the form required by the question
Exam Tip
Worked Example
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