For , let and be solutions of the differential equation such that . Suppose denotes the Wronskian of and . If , then the value of a is
Part BCSIR NET December 2025no-first-derivative-term-means-the-wronskian-is-constant-everywhere-not-just-computable-at-0
No first derivative term means the wronskian is constant everywhere not just computable at 0
Related counterexample: W(f, g) ≡ 0 implies f and g are linearly dependent
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The chapter behind this: Linear ODE, Wronskian and systems — free to read
From Ordinary Differential Equations › Linear ODE, Wronskian, variation of parameters, systems
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