For the Differential Equation, Find the Particular Solution If $y ( 0 ) = 1$

question 12

Multiple Choice

For the differential equation, find the particular solution if $y ( 0 ) = 1$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = x ( y + 5 )$

• A) \(y = e ^ { \frac { x } { 2 } } - 6\)
• B) \(y = 6 e ^ { x ^ { 2 } } + 5\)
• C) \(y = 6 e ^ { \frac { x ^ { 2 } } { 2 } } - 5\)
• D) \(y = 12 e ^ { \frac { x ^ { 2 } } { 2 } } + 5\)
• E) \(y = 6 e ^ { 2 x ^ { 2 } }\)

Understand the statistical assumptions underlying the calculation of confidence intervals.

Understand the religious affiliations and beliefs of various groups in the late 19th and early 20th centuries.

Grasp the implications of rapid urbanization and the challenges it posed to societal norms and infrastructure.

Identify the demographics and migration patterns of global cities during the industrial era.

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Definitions:

Short-run Total Cost

The total of all costs, both fixed and variable, that a firm incurs in producing goods or services in the short run.

Average Total Cost

The cost per unit of output, determined by dividing the overall production cost by the quantity produced.

Fixed Cost

A cost that does not change with an increase or decrease in the amount of goods or services produced.

Variable Cost

A cost that changes with the level of output or production.