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The Graph Below Shows Solution Curves of a Differential Equation dydx=165x1/5\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.
- The graph below shows solution curves of a differential equation. Find an equation for the curve through the given point. -   \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 }
dydx=165x1/5\frac { d y } { d x } = 1 - \frac { 6 } { 5 } x ^ { 1 / 5 }


A) y=x+x6/5+35y = x + x ^ { 6 / 5 } + \frac { 3 } { 5 }
B) y=1x6/535y = 1 - x ^ { 6 / 5 } - \frac { 3 } { 5 }
C) y=xx6/5+53y = x - x ^ { 6 / 5 } + \frac { 5 } { 3 }
D) y=xx6/5+35y = x - x ^ { 6 / 5 } + \frac { 3 } { 5 }

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