1 First find the general solution of the differential equation dy/dx = 3y. Then find the particular solution the satisfies the initial condition that y(1) = 4.
2 Solve the initial value problem dy/dx = y^3 , y(0) = 1
3 Find the center and radius of the circle described in the equation
4 Find the equation of the ellipse with the center (2,1), horizontal major axis 10, and eccentricity 2/5.
Solving Differential Equations, Initial Value Problems and Circles and Ellipses are investigated.