IDZ 11.4 - Option 4. Decisions Ryabushko AP

IDZ 11.4 - Option 4. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.4 y- 4y = 0, y (0) = 0, y (0) = 2, y (0) = 4.

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

3. Solve the differential equation by variation of arbitrary constants.
3.4 y + y = sinx / cos2x

4. Solve the following problems.
4.4 Write the equation of curves with the property area of the triangle bounded by the tangent, the x-axis and the line from the origin to the point of contact, there is a constant equal to a2

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