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

Question

Quizplus · Accepted Answer

The Answer is False

One of the Solutions to the Differential Equation dydx=x−15y\frac { d y } { d x } = x - \frac { 1 } { 5 } ydxdy​=x−51​y

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