IDZ 11.4 - Option 13. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.13 y- 2y + 9y- 18y = 0, y (0) = -2,5, y (0) = 0, y (0) = 0

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.13 x ´= 8x-3y, y´ = 2x + y

3. Solve the differential equation by variation of arbitrary constants.
3.13 y + 4y = ctg2x

4. Solve the following problems.
4.13 Write the equation of the curve passing through the point A (2, 1), if it is known that the slope of the tangent at any point is proportional to the square of the ordinate of the point of contact. The proportionality coefficient is equal to 6.