The Graph Below Shows Solution Curves of a Differential Equation $$\frac { d y } { d x } = 1 - \frac { 6 } { 5 } x ^ { 1 / 5 }$$

question 170

Multiple Choice

The graph below shows solution curves of a differential equation. Find an equation for the curve through the given point.
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$$\frac { d y } { d x } = 1 - \frac { 6 } { 5 } x ^ { 1 / 5 }$$

• A) \(y = x + x ^ { 6 / 5 } + \frac { 3 } { 5 }\)
• B) \(y = 1 - x ^ { 6 / 5 } - \frac { 3 } { 5 }\)
• C) \(y = x - x ^ { 6 / 5 } + \frac { 5 } { 3 }\)
• D) \(y = x - x ^ { 6 / 5 } + \frac { 3 } { 5 }\)

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