1. Find a particular solution of a linear homogeneous differential equation.
1.6 y- y = 0, y (0) = 0, y (0) = 2, y (0) = 4.

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.6 x '= - 2x + y, y' = - 3x + 2y

3. Solve the differential equation by variation of arbitrary constants.
3.6 y + 2y + y = xex + 1 / xex

4. Solve the following problems.
4.6 Write the equation of curves with the following property: the intersection point of each tangent to the x-axis is the abscissa, half the abscissa of the point of contact.

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