ИДЗ 11.4 – Вариант 9. Решения Рябушко А.П.

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

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

3. Solve the differential equation by variation of arbitrary constants.
3.9 y + 2y + 2y = e-xctgx

4. Solve the following problems.
4.9 Write the equation of curves with the following property: the length of the segment of the x-axis intercept of the tangent and the normal drawn from any point of the curve is equal to 2l.

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