Two Linearly Independent Solutions of the Differential Equation $y ^ { \prime \prime } - 4 y ^ { \prime } + 4 y = 0$

question 23

Multiple Choice

Two linearly independent solutions of the differential equation $y ^ { \prime \prime } - 4 y ^ { \prime } + 4 y = 0$ are

• A) \(y _ { 1 } = e ^ { 2 x } , y _ { 2 } = e ^ { 2 x }\)
• B) \(y _ { 1 } = e ^ { 2 x } , y _ { 2 } = x e ^ { 2 x }\)
• C) \(y _ { 1 } = e ^ { 2 x } , y _ { 2 } = e ^ { - 2 x }\)
• D) \(y _ { 1 } = e ^ { - 2 x } , y _ { 2 } = x e ^ { - 2 x }\)
• E) \(y _ { 1 } = e ^ { - 2 x } , y _ { 2 } = x e ^ { 2 x }\)

Understand the role of genetics and environment in language acquisition and cognitive development.

Identify the signs of normal versus delayed speech and language development in infants and toddlers.

Understand the impact of taxation on market equilibrium, consumer and producer surplus.

Identify and calculate the deadweight loss resulting from taxation.

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Definitions:

Theory Of Planned Behavior

A psychological theory that links beliefs and behavior, suggesting that an individual's behavioral intentions are shaped by their attitudes towards the behavior, subjective norms, and perceived control over the behavior.

Intention To Act

A mental state that represents a commitment to carrying out an action or actions in the future.

Subjective Norms

Beliefs about the social pressures to perform or not perform a particular behavior, which can influence an individual's actions.

Perceived Behavioral Control

An individual's belief in their capability to exert control over their own behavior.