1. Find a particular solution of a linear homogeneous differential equation.
1.13 y- 2y + 9y- 18y = 0, y (0) = -2,5, y (0) = 0, 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.
2.13 x ´= 8x-3y, y´ = 2x + y
3. Solve the differential equation by variation of arbitrary constants.
3.13 y + 4y = ctg2x
4. Solve the following problems.
4.13 Write the equation of the curve passing through the point A (2, 1), if it is known that the slope of the tangent at any point is proportional to the square of the ordinate of the point of contact. The proportionality coefficient is equal to 6.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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