1. Find a particular solution of a linear homogeneous differential equation.
1.27 y + 2y + y = 0, y (0) = 0, y (0) = 2, y (0) = -3.
2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.27 x ´= x-5y, y´ = - x-3y
3. Solve the differential equation by variation of arbitrary constants.
3.27 y + y = tg2x
4. Solve the following problems.
4.27 Write the equation of the curve for which the length of the intercept normal at M (x, y) on the axis Ox, is y2 / x
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