IDZ 11.4 - Option 16. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.16 yIV - 5y + 4y = 0, y (0) = -2, y (0) = 1, y (0) = 2, y (0) = 0.

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.16 x ´= x + 2y, y´ = 3x + 6y

3. Solve the differential equation by variation of arbitrary constants.
3.16 y + 2y + y = e-x / x

4. Solve the following problems.
4.16 Write the equation of the curve, which has the following property: the length of the perpendicular from the origin to the tangent is equal to the abscissa point of contact.