A function $y=g(t)$ has the property that the tangent time $10$ its grouph at the point $(t,y)$ passes through the point $(t-1,-6y)$ Write a $1$st order ODE for which the function $g(t)$ voud be a solution

$y^{\text{'}}=\frac{1}{7y}$

c$)y^{\text{'}}=7y^2(t-1)$

B$)y^{\text{'}}=7y$

D$)y^{\text{'}}=\frac{-6y}{t-1}$

c$)y^{\text{'}}=-6y(t-1)$