1. Find a particular solution of a linear homogeneous differential equation.
1.9 y + y = 0, y (0) = 0, y (0) = 1, y (0) = -1.
2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.9 x ´= y, y´ = x
3. Solve the differential equation by variation of arbitrary constants.
3.9 y + 2y + 2y = e-xctgx
4. Solve the following problems.
4.9 Write the equation of curves with the following property: the length of the segment of the x-axis intercept of the tangent and the normal drawn from any point of the curve is equal to 2l.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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