IDZ 11.4 - Option 12. Decisions Ryabushko AP

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Uploaded: 15.09.2020
Content: 12v-IDZ11.4.doc 144 kB

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1. Find a particular solution of a linear homogeneous differential equation.
1.12 y + 3y + 3y + y = 0, y (0) = -1, y (0) = 0, y (0) = 1

2. Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.
2.12 x ´= 4x + 2y, y´ = 4x + 6y

3. Solve the differential equation by variation of arbitrary constants.
3.12 y + y = tgx

4. Solve the following problems.
4.12 Write the equation of the curve passing through the point A (1, 2) and has the following property: the ratio of the ordinates of any point in the abscissa of this point is proportional to the slope of the tangent to the desired curve drawn at the same point. The proportionality coefficient is equal to 3.

Additional information

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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