Determine Whether the Differential Equation Is Linear $$y ^ { t } + 7 x ^ { 6 } y = 6 x ^ { 6 }$$

question 132

Multiple Choice

Determine whether the differential equation is linear. Select the correct answer.
$$y ^ { t } + 7 x ^ { 6 } y = 6 x ^ { 6 }$$

• A) the equation is linear
• B) the equation is not linear

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Definitions:

Total Product Curve

The total product curve illustrates the relationship between the quantity of inputs used in production and the quantity of output produced, demonstrating the law of diminishing returns.

Variable Input

A production input whose quantity can be changed in the short term to adjust the level of output.

Marginal Product Curve

The marginal product curve depicts the change in output resulting from employing one more unit of a specific input, holding all other inputs constant, and typically features phases of increasing, constant, and diminishing marginal returns.

Fixed Input

A resource or input in the production process that remains unchanged regardless of the level of output or production.