1. Find a particular solution of a linear homogeneous differential equation.
1.10 y- 5y + 8y- 4y = 0, y (0) = 1, y (0) = -1, 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.
2.10 x ´= - x-2y, y´ = 3x + 4y
3. Solve the differential equation by variation of arbitrary constants.
3.10 y- 2y + 2y = ex / sinx
4. Solve the following problems.
4.10 Write the equation of the curve passing through the point A (2, 4) and has the following property: the length of the intercept on the x-axis tangent drawn at any point of the curve is equal to the cube of the abscissa of the point of contact.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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