# Solving Differential Equations, Initial Value Problems and Circles and Ellipses

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

2x^2+2y^2-6x+2y=3.

4 Find the equation of the ellipse with the center (2,1), horizontal major axis 10, and eccentricity 2/5.

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#### Solution Summary

Solving Differential Equations, Initial Value Problems and Circles and Ellipses are investigated.

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