1. Find a particular solution of a linear homogeneous differential equation.
1.16 yIV - 5y + 4y = 0, y (0) = -2, y (0) = 1, y (0) = 2, 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.
2.16 x ´= x + 2y, y´ = 3x + 6y
3. Solve the differential equation by variation of arbitrary constants.
3.16 y + 2y + y = e-x / x
4. Solve the following problems.
4.16 Write the equation of the curve, which has the following property: the length of the perpendicular from the origin to the tangent is equal to the abscissa point of contact.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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