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One of the Solutions to the Differential Equation dydx=x15y\frac { d y } { d x } = x - \frac { 1 } { 5 } y

Question 126

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One of the solutions to the differential equation dydx=x15y\frac { d y } { d x } = x - \frac { 1 } { 5 } y is a straight line.Take a point (x0,y0)\left( x _ { 0 } , y _ { 0 } \right) not on the line.Can a solution curve through (x0,y0)\left( x _ { 0 } , y _ { 0 } \right) cross the line?

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