Find the General Solution of the Given First-Order Linear Differential $\frac { d y } { d x } + \frac { y } { 20 x } = \sqrt [ 20 ] { x ^ { 19 } } e ^ { x }$

question 10

Multiple Choice

Find the general solution of the given first-order linear differential equation. $\frac { d y } { d x } + \frac { y } { 20 x } = \sqrt [ 20 ] { x ^ { 19 } } e ^ { x }$

• A) \(y = \frac { e ^ { x } } { x ^ { 1 / 20 } } + C\)
• B) \(y = \frac { e ^ { x } ( x - 1 ) + C } { x ^ { 20 } }\)
• C) \(y = x ^ { 1 / 20 } e ^ { x } ( x - 1 ) + C\)
• D) \(y = \frac { e ^ { x } ( x - 1 ) + C } { x ^ { 1 / 20 } }\)

Evaluate the effectiveness and timing of fiscal stimulus packages.

Understand the significance of balancing the budget over the business cycle.

Assess the implications of the crowding-out effect on economic activity.

Grasp the concept of inflationary and recessionary gaps and how fiscal policy can adjust them.

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Definitions:

Conditioned Stimulus

A previously neutral signal that, through association with an unconditioned stimulus, comes to elicit a conditioned response as part of classical conditioning.

Cue Deflation Effect

When the extinction of a response to one cue leads to an increased reaction to the other conditioned stimulus

Salient Conditioned Stimulus

A stimulus that stands out and is easily noticeable making it more likely to be associated with an unconditioned stimulus in the process of learning.