IDZ 11.4 - Option 11. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.11 y + 3y + 2y = 0, y (0) = 0, y (0) = 0, y (0) = 2.

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

3. Solve the differential equation by variation of arbitrary constants.
3.11 y- 2y + y = ex / x2

4. Solve the following problems.
4.11 Write the equation of the curve passing through the point A (1, 5), and has the property that the length of the intercept on the ordinate any tangent, equal to three times the abscissa of the point of contact.