Ordinary Differential Equations · Calculus
Second-Order Linear ODEs
The characteristic polynomial determines solution type: real roots give exponentials; complex roots give oscillations. The general solution is a linear combination of two independent solutions.
WHAT STUDENTS WILL LEARN
✓Solve homogeneous ODEs with constant coefficients
✓Apply the characteristic equation
✓Use the Wronskian for linear independence
✓Apply superposition
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