Reshebnik Ryabushko. Solved IDZ 11.4, Option 6
Replenishment date: 15.09.2020
Content: 6v-IDZ11.4.rar (40.36 KB)
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Description
1. Find a particular solution of a linear homogeneous differential equation.
1.6 y΄΄΄− y΄ = 0, y (0) = 0, y΄ (0) = 2, y΄΄ (0) = 4.
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.6 x´ = -2x + y, y´ = -3x + 2y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.6 y΄΄ + 2y΄ + y = xex + 1 / xex
4. Solve the following tasks.
4.6 Write down the equations of curves with the following property: the point of intersection of any tangent with the abscissa axis has an abscissa that is half the abscissa of the tangency point.
1.6 y΄΄΄− y΄ = 0, y (0) = 0, y΄ (0) = 2, y΄΄ (0) = 4.
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.6 x´ = -2x + y, y´ = -3x + 2y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.6 y΄΄ + 2y΄ + y = xex + 1 / xex
4. Solve the following tasks.
4.6 Write down the equations of curves with the following property: the point of intersection of any tangent with the abscissa axis has an abscissa that is half the abscissa of the tangency point.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.