Differential Equations · Class 12 · CBSE · Science Mathematics
Form a differential equation by eliminating the arbitrary constants from y = C₁eˣ + C₂e⁻ˣ.
Practice question from Differential Equations (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · Subjective · Q-146095
Form a differential equation by eliminating the arbitrary constants from y = C₁eˣ + C₂e⁻ˣ.
Answer: Differentiating twice gives y'' = C₁eˣ + C₂e⁻ˣ = y. Therefore, the required differential equation is y'' − y = 0.
Solution
Differentiate twice to obtain . Eliminating the arbitrary constants gives .
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