IDZ 11.2 - Option 7. Decisions Ryabushko AP

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• Find a particular solution of the differential equation and calculate the value of the resulting function y = φ (x) at x = x0 to the nearest two decimal places.

1.7 xy''' = 2, x0 = 2, y (1) = 1/2, y'(1) = y'' (1) = 0.

• Find the general solution of the differential equation that admit a lowering of the order

2.7 y''xlnx = 2y'

• Solve the Cauchy problem for differential equations admitting a reduction of order.

3.7 yy''- y'2 = y4, y (0) = 1, y'(0) = 1.

• Integrate the following equation.

4.7 2x / y3dx + y2-3x2 / y4dy = 0

• Write the equation of the curve passing through the point A (x0, y0), if it is known that the slope of the tangent at any point in n is greater than the slope of the straight line connecting the same point with the origin.

5.7 A (2, 5), n = 8

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