Reshebnik Ryabushko. Solved IDZ 11.4, Option 4
Replenishment date: 15.09.2020
Content: 4v-IDZ11.4.rar (72.63 KB)
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Description
1. Find a particular solution of a linear homogeneous differential equation.
1.4 y΄΄΄− 4y΄ = 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.
2.4 x´ = -2x-3y, y´ = -x
3. Solve the differential equation by the method of variation of arbitrary constants.
3.4 y΄΄΄ + y΄ = sinx / cos2x
4. Solve the following tasks.
4.4 Write down the equations of curves with the following property: the area of a triangle bounded by a tangent, the abscissa axis and a segment from the origin to the point of tangency is a constant value equal to a2
1.4 y΄΄΄− 4y΄ = 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.
2.4 x´ = -2x-3y, y´ = -x
3. Solve the differential equation by the method of variation of arbitrary constants.
3.4 y΄΄΄ + y΄ = sinx / cos2x
4. Solve the following tasks.
4.4 Write down the equations of curves with the following property: the area of a triangle bounded by a tangent, the abscissa axis and a segment from the origin to the point of tangency is a constant value equal to a2
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.