1. Find a particular solution of a linear homogeneous differential equation.
1.5 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.
2.5 x ´= x-y, y´ = - 4x + 4y
3. Solve the differential equation by variation of arbitrary constants.
3.5 y + 9y = 1 / sin3x
4. Solve the following problems.
4.5 Write the equation of the curve, if it is known that the distance between any tangent to the origin equal to the abscissa of the point of tangency.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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