What Is the Characteristic Equation of the Differential Equation $\frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}-6 y=0$

question 124

Multiple Choice

What is the characteristic equation of the differential equation $\frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}-6 y=0$ ?

• A) \((r+5)(r-6)=0\)
• B) \((r+5)(r-1)=0\)
• C) \(r^{2}-5 r+6=0\)
• D) \(r^{2}+5 r-6=0\)

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Definitions:

Consensus Behaviour

Actions taken collectively by a group based on widespread agreement or harmony of opinion within the group.

Distinctiveness

The quality of being distinctly different or unique, often used in the context of individual or group identity and characteristics.

Consistency

The quality of achieving a level of performance or behavior that does not vary greatly in quality over time.

Dispositional Explanations

Attributions of behavior to stable internal factors, including personality traits and beliefs.