Is $y = \frac { 1 } { 12 } x ^ { 4 } - \frac { 5 } { 2 } x ^ { 3 } + x ^ { 2 } + C _ { 1 } x + C _ { 2 }$

question 53

True/False

Is $y = \frac { 1 } { 12 } x ^ { 4 } - \frac { 5 } { 2 } x ^ { 3 } + x ^ { 2 } + C _ { 1 } x + C _ { 2 }$ the general solution to the differential equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } = x ^ { 2 } - 15 x + 2$ ?

---

Definitions:

Collaborative Forecast

A method where multiple stakeholders work together to predict future demand or trends, often involving the sharing of information to improve accuracy.

Supply And Demand

The fundamental economic model describing the interaction between the quantity of goods available for sale and the consumers' willingness to purchase them at a certain price.

Plant/Equipment Investment

Capital expenditure on the physical assets of a company to increase its capacity or improve its efficiency.

Long-Term Forecasts

Predictions about future events or trends in an industry or organization that extend beyond the immediate future, typically several years ahead.