(a) Sketch the slope field of dy/dt = t/y in the region −2 ≤ t ≤ 2, −2 ≤ y ≤ 2.

(b) Check that y = ± √t² + C is the general solution.

(c) Sketch the solutions on the slope field with initial conditions y(0) = 1 and y(0) = −1.