Sketch the solution curve that corresponds to the initial condition y(0)=1 y(0) = 1 for the differential equation y′(t)=8−$$4yy^{\prime}(t)=8-4y.$$

13: Intro to Differential Equations

13: Intro to Differential Equations / Slope Fields / Problema 3

Problema 3

Sketch the solution curve that corresponds to the initial condition $y of 0 equals 1$ for the differential equation $y^{'} (t) = 8 - 4 y$ .

Slope field with a red solution curve passing through point (0,1) showing decreasing behavior as t increases.

Slope field with short green line segments and a red solution curve starting at (0,1) approaching y=2 as t increases.

Slope field with a red solution curve starting at y=1 when t=0, approaching y=2 as t increases.

Slope field with short green line segments and a red solution curve passing through (0,1) on a Cartesian plane.