Practice question · Sort into groups
Sort each ODE by the best solution strategy.
Groups: Separation of variables · Integrating factor · Characteristic equation
- dy/dx = xy
- dy/dx + y/
- dy/dx = y/x
- y'' −
- dy/dx + 3
- y'' + 2y' +
Hints
- Classify each equation by order and by structure first.
- Constant coefficients open up methods that variable ones do not.
Show the answer
Separation of variables: dy/dx = xy, dy/dx = y/x
Integrating factor: dy/dx + 3, dy/dx + y/
Characteristic equation: y'' − , y'' + 2y' +
Why
The equation type determines the most efficient solution method.
Practise Problem-Solving: Differential Equations
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