IDZ 11.4 - Option 10. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.10 y- 5y + 8y- 4y = 0, y (0) = 1, y (0) = -1, y (0) = 0

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

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

4. Solve the following problems.
4.10 Write the equation of the curve passing through the point A (2, 4) and has the following property: the length of the intercept on the x-axis tangent drawn at any point of the curve is equal to the cube of the abscissa of the point of contact.