IDZ 11.4 - Option 15. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.15 y- 13y + 12y = 0, y (0) = 0, y (0) = 1, y (0) = 133.

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.15 x ´= 2x + 3y, y´ = 5x + 4y

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

4. Solve the following problems.
4.15 Write the equation of the curve passing through the point A (0, -2), if it is known that the slope of the tangent at any point is equal to three times the ordinate of this point.