IDZ 11.4 - Option 19. Decisions Ryabushko AP

1. Find a particular solution of a linear homogeneous differential equation.
1.19 y- 3y + 3y- y = 0, y (0) = 0, y (0) = 0, 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.
2.19 x ´= x + 4y, y´ = x + y

3. Solve the differential equation by variation of arbitrary constants.
3.19 y + 4y = 1 / sin2x

4. Solve the following problems.
4.19 Write the equation of the curve, for which the length of the intercept on the y-axis normal drawn at any point of the curve is equal to the distance from this point to the origin.