Find the Solution to the Differential Equation $\frac { d y } { d x } = \frac { 6 x } { y }$

question 129

Multiple Choice

Find the solution to the differential equation $\frac { d y } { d x } = \frac { 6 x } { y }$ passing through $( 1,6 )$ .

• A) \(y ^ { 2 } = 6 x ^ { 2 } + 30\)
• B) \(6 y ^ { 2 } = x ^ { 2 } + 215\)
• C) \(y ^ { 2 } + 6 x ^ { 2 } = 42\)
• D) \(6 y ^ { 2 } + x ^ { 2 } = 217\)

---

Definitions:

Physiological Needs

The basic human requirements, such as food, water, and sleep, as identified in Maslow's Hierarchy of Needs.

Maslow's Hierarchy

A theory in psychology proposed by Abraham Maslow that depicts a five-tier model of human needs, arranged in a hierarchy from basic (physiological) needs to higher-level (self-actualization) needs.

Starting Point

the initial position, condition, or phase from which movement, development, or evaluation begins.

Long-Term Leadership

The vision and strategy applied by a leader to ensure sustainable success and growth of an organization over an extended period.