IDZ 11.4 - Option 30. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.30 yIV + 10y + 9y = 0, y (0) = 1, y (0) = 3, y (0) = -9, y (0) = -27.

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.30 x ´= 4x-8y, y´ = - 8x + 4y

3. Solve the differential equation by variation of arbitrary constants.
3.30 y + 9y = 1 / cos3x

4. Solve the following problems.
4.30 at the ordinate curve 2 is inclined to the axis Oy 45°. Any angle of its tangent cuts abscissa segment equal in length to the square of the ordinate of the point of tangency. Write the equation of the curve.