IDZ 11.4 - Option 26. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.26 yV - 6yIV + 9y = 0, y (0) = y (0) = y (0) = y (0) = 0, yIV (0) = 27

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

3. Solve the differential equation by variation of arbitrary constants.
3.26 y- y = e2xsin (ex)

4. Solve the following problems.
4.26 Write the equation of the curve, if it cuts the tangent on the axis Oy segment equal to the length of 1 / n - th sum of the coordinates of the touch.