IDZ 11.4 - Option 24. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.24 y + y- 4y- 4y = 0, y (0) = 0, y (0) = 0, y (0) = 12

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

3. Solve the differential equation by variation of arbitrary constants.
3.24 y + y = -ctg2x

4. Solve the following problems.
4.24 Write the equation of the curve, each tangent to which intersects the line y = 1 at the point with abscissa equal to twice the abscissa of the point of contact.