d^2y/dx^2 − dy/dx − 3/4 y = 0,
y(0) = 1, dy/dx(0) = 0,
Convert the initial value problem into a set of two coupled
first-order initial value problems
and find the exact solution to the differential equatiion
Sketch the direction field of the equation
dy/dx=y-4y^3. Sketch the phase portrait. Find the equilibrium
solutions and classify each equilibrium as stable, unstable or
semi-stable. Sketch typical solutions of the equation.