Reshebnik Ryabushko. Solved IDZ 11.4, Option 3
Replenishment date: 15.09.2020
Content: 3v-IDZ11.4.rar (55.8 KB)
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Description
1. Find a particular solution of a linear homogeneous differential equation.
1.3 y΄΄΄− y΄΄ = 0, y (0) = 0, y΄ (0) = 0, y΄΄ (0) = −1.
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.3 x´ = -x + 8y, y´ = x + y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.3 y΄΄− 4y΄ + 5y = e2x / cosx
4. Solve the following tasks.
4.3 Write down the equations of curves with the following property: the area of a trapezoid bounded by the coordinate axes tangent to the curve and the perpendicular dropped from the point of tangency to the abscissa axis is a constant value equal to 3a2
1.3 y΄΄΄− y΄΄ = 0, y (0) = 0, y΄ (0) = 0, y΄΄ (0) = −1.
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.3 x´ = -x + 8y, y´ = x + y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.3 y΄΄− 4y΄ + 5y = e2x / cosx
4. Solve the following tasks.
4.3 Write down the equations of curves with the following property: the area of a trapezoid bounded by the coordinate axes tangent to the curve and the perpendicular dropped from the point of tangency to the abscissa axis is a constant value equal to 3a2
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.