1. Find a particular solution of a linear homogeneous differential equation.
1.24 y + y- 4y- 4y = 0, y (0) = 0, y (0) = 0, y (0) = 12
2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.24 x ´= 2x + 8y, y´ = x + 4y
3. Solve the differential equation by variation of arbitrary constants.
3.24 y + y = -ctg2x
4. Solve the following problems.
4.24 Write the equation of the curve, each tangent to which intersects the line y = 1 at the point with abscissa equal to twice the abscissa of the point of contact.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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