1. Find a particular solution of a linear homogeneous differential equation.
1.30 yIV + 10y + 9y = 0, y (0) = 1, y (0) = 3, y (0) = -9, y (0) = -27.
2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.30 x ´= 4x-8y, y´ = - 8x + 4y
3. Solve the differential equation by variation of arbitrary constants.
3.30 y + 9y = 1 / cos3x
4. Solve the following problems.
4.30 at the ordinate curve 2 is inclined to the axis Oy 45°. Any angle of its tangent cuts abscissa segment equal in length to the square of the ordinate of the point of tangency. Write the equation of the curve.
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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