Reshebnik Ryabushko. Solved IDZ 11.4, Option 29
Replenishment date: 15.09.2020
Content: 29v-IDZ11.4.rar (50.26 KB)
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Description
1. Find a particular solution of a linear homogeneous differential equation.
1.29 yIV + 5y΄΄ + 4y = 0, y (0) = 1, y΄ (0) = 4, y΄΄ (0) = −1, y΄΄΄ (0) = −16.
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.29 x´ = 6x + 3y, y´ = -8x-5y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.29 y΄΄ + 2y΄ + 5y = ex / sin2x
4. Solve the following tasks.
4.29 Write down the equations of curves for which the length of the segment cut off by the normal at the point M (x, y) on the Oy axis is x2 / y.
1.29 yIV + 5y΄΄ + 4y = 0, y (0) = 1, y΄ (0) = 4, y΄΄ (0) = −1, y΄΄΄ (0) = −16.
2. Solve the system of differential equations in two ways: a) reduction to a higher-order differential equation; b) using the characteristic equation.
2.29 x´ = 6x + 3y, y´ = -8x-5y
3. Solve the differential equation by the method of variation of arbitrary constants.
3.29 y΄΄ + 2y΄ + 5y = ex / sin2x
4. Solve the following tasks.
4.29 Write down the equations of curves for which the length of the segment cut off by the normal at the point M (x, y) on the Oy axis is x2 / y.
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.