IDZ 11.4 - Option 20. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.20 y- y + 4y- 4y = 0, y (0) = -1, y (0) = 0, y (0) = -6

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.20 x ´= 3x-2y, y´ = 2x + 8y

3. Solve the differential equation by variation of arbitrary constants.
3.20 y + 4y = tg2x

4. Solve the following problems.
4.20 Write the equation of the curve, for which the product of the abscissa of any point of its length and intercept the normal at this point on the axis Ox, equal to twice the square of the distance from this point to the origin.