If an ODE is linear and homogeneous, then the "Principle of Superposition" appears: [The property of the solutions]
Answer
If \(y_{1}\) and \(y_{2}\) both solve an ODE, then, \(y_{3}=\alpha y_{1}+\beta y_{2}\) is also a solution.
Question
If an ODE is linear and homogeneous, then the "Principle of Superposition" appears: [The property of the solutions]
Answer
?
Question
If an ODE is linear and homogeneous, then the "Principle of Superposition" appears: [The property of the solutions]
Answer
If \(y_{1}\) and \(y_{2}\) both solve an ODE, then, \(y_{3}=\alpha y_{1}+\beta y_{2}\) is also a solution.
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Principle of Superposition for ODE's solutions If an ODE is linear and homogeneous, then the "Principle of Superposition" appears: If \(y_{1}\) and \(y_{2}\) both solve an ODE, then, \(y_{3}=\alpha y_{1}+\beta y_{2}\) is also a solution.
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