IDZ 11.4 - Option 1. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.1 y- 7y + 6y = 0, y (0) = 0, y (0) = 0, y (0) = 30.

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

3. Solve the differential equation by variation of arbitrary constants.
3.1 y- y = ex / (ex + 1)

4. Solve the following problems.
4.1 Write the equation of curves with the property area of the triangle formed by the tangent to the curve of the perpendicular from the point of tangency on the x-axis and the x-axis, is constant, equal to b2.