IDZ 11.4 - Option 21. Decisions Ryabushko AP

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

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.21 x ´= x + 4y, y´ = 2x + 3y

3. Solve the differential equation by variation of arbitrary constants.
3.21 y + 4y + 4y = e-2x / x3

4. Solve the following problems.
4.21 Write the equation of the curve, for which the triangle formed by the axis Oy, the tangent and the radius vector of the point of contact, is isosceles.