IDZ 11.4 - Option 29. Decisions Ryabushko AP

IDZ 11.4 - Option 29. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.29 yIV + 5y + 4y = 0, y (0) = 1, y (0) = 4, y (0) = -1, y (0) = -16.

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.29 x ´= 6x + 3y, y´ = - 8x-5y

3. Solve the differential equation by variation of arbitrary constants.
3.29 y + 2y + 5y = e-x / sin2x

4. Solve the following problems.
4.29 Write the equation of the curves for which the length of the segment intercept the normal at the point M (x, y) on the axis Oy, is x2 / y.

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