Reduction of Order
Jan 1, 2021
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1 min read
Summary
Suppose we are lucky enough to know a solution $x_{1}(t)$ of the second-order linear homogeneous ODE
$$ x^{\prime \prime}+p(t) x^{\prime}+q(t) x=0 . $$Then we can find another solution of this ODE by solving a first-order differential equation.
