3.(Straightforward) Verify that the piecewise defined function { x*, x < 0 -x³, x > 0 y = is a solution of the differential equation xy' = 3y on the entire domain (-0, 00). (Hint: First check the two disjoint domains (-∞, 0) and (0, ∞), and then make sure everything works at x = 0.)

Solve: y''' — 5y'' — y' + 5y = 0 y(0) y(t) = = – 6, y'(0) = − 16, y’’(0) = − 78

For the differential equation y' = 2y - x, draw line segments representing the slope field at the points (1, 2), (1, 1), (2, 2), and (2, 1).

Find the solution to = Y y' 16x + 6y if #(0) = 0 and y(0) = 3. x(t) = help (formulas) y(t) = help (formulas)