Reshebnik Ryabushko. Solved IDZ 11.4, Option 7
Replenishment date: 15.09.2020
Content: 7v-IDZ11.4.rar (62.69 KB)
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Description
1. Find a particular solution of a linear homogeneous differential equation.
1.7 yIV + 2y΄΄΄ − 2y΄− y = 0, y (0) = 0, y΄ (0) = 0, y΄΄ (0) = 0, y΄΄΄ (0) = 8
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.7 x´ = 6x-y, y´ = 3x + 2y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.7 y΄΄ + 2y΄ + 2y = ex / cosx
4. Solve the following tasks.
4.7 Write down the equations of curves for which the sum of the legs of the triangle formed by the tangent, the perpendicular dropped from the point of tangency to the abscissa axis, and the abscissa axis is a constant value equal to a.
1.7 yIV + 2y΄΄΄ − 2y΄− y = 0, y (0) = 0, y΄ (0) = 0, y΄΄ (0) = 0, y΄΄΄ (0) = 8
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.7 x´ = 6x-y, y´ = 3x + 2y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.7 y΄΄ + 2y΄ + 2y = ex / cosx
4. Solve the following tasks.
4.7 Write down the equations of curves for which the sum of the legs of the triangle formed by the tangent, the perpendicular dropped from the point of tangency to the abscissa axis, and the abscissa axis is a constant value equal to a.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.