IDZ 11.4 - Option 22. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.22 yIV - y = 0, y (0) = 0, y (0) = 0, y (0) = 0, 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.
2.22 x ´= 7x + 3y, y´ = x + 5y

3. Solve the differential equation by variation of arbitrary constants.
3.22 y- 4y + 4y = e2x / x3

4. Solve the following problems.
4.22 Write the equation of the curve passing through the point A (2, 0) and has the property segment of the tangent point between the touch and the axis Oy has a constant length equal to 2.