The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx xp- Y2 = Y1(x) / (5) as instructed, to find a second solution y,(x). (1- x2)y" + 2xy' = 0; Y1 = 1 Y2 =

The population of fish in a lake grows logistically according to the differential equation where t is in years with no harvesting. If the lake has 550 fish and opens to fishing, determine how many fish can be harvested per year to maintain equilibrium. dy/dt=0.1y(1-y/2500) Differential Equations

Let (a) (b) (√x+²) dx + (y² + In(2x)) dy=0, x>0. Check that this is an exact differential equation. Solve the equation leaving the general solution in implicit form.