IDZ 11.4 - Option 17. Decisions Ryabushko AP

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• Find a particular solution of a linear homogeneous differential equation.

1.17 yIV - 10y + 9y = 0, y (0) = 0, y (0) = 0, y (0) = 8, y (0) = 24.

• Solve the system of differential equations in two ways: a) information to higher order differential equations; b) using a characteristic equation.

2.17 x '= 5x + 4y, y' = 4x + 5y

• Solve the differential equation by variation of arbitrary constants.

3.17 y + y = 1 / cosx

• Solve the following problems.

4.17 Write the equation of the curve for which the slope of the tangent at any point it is n times greater slope of the straight line joining this point to the origin.

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