IDZ 11.4 - Option 13. Decisions Ryabushko AP

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.

Additional information:

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.