IDZ 11.4 - Option 8. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.8 y + y- 5y + 3y = 0, y (0) = 0, y (0) = 1, y (0) = -14

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

3. Solve the differential equation by variation of arbitrary constants.
3.8 y- 2y + 2y = ex / sin2x

4. Solve the following problems.
4.8 Write the equation of curves, for which the point of intersection of all tangent to the x-axis is the abscissa, equal to 2/3 of the abscissa of the point of contact.