The graph to the right is the graph of a solution of a homogeneous linear equation dy/dt =...

The graph to the right is the graph of a solution of a homogeneous linear equation dy/dt = a(t)y. Give rough sketches of the graphs of the solutions to this equation that satisfy the initial conditions y(0) = 0, y(0) = 2, y(0) = 3, y(0) = −1, and y(0) = −2.5.