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.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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