IDZ 11.4 - Option 17. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.17 yIV - 10y + 9y = 0, y (0) = 0, y (0) = 0, y (0) = 8, y (0) = 24.

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.17 x ´= 5x + 4y, y´ = 4x + 5y

3. Solve the differential equation by variation of arbitrary constants.
3.17 y + y = 1 / cosx

4. Solve the following problems.
4.17 Write the equation of the curve for which the slope of the tangent at any point it is n times greater slope of the straight line joining this point to the origin.