IDZ 11.2 - Option 7. Decisions Ryabushko AP

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Uploaded: 01.09.2020
Content: 7v-IDZ11.2.doc 169 kB

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1. 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.

2. Find the general solution of the differential equation that admit a lowering of the order
2.7 y´´xlnx = 2y´

3. Solve the Cauchy problem for differential equations admitting a reduction of order.
3.7 yy´´- y´2 = y4, y (0) = 1, y´(0) = 1.

4. Integrate the following equation.
4.7 2x / y3dx + y2-3x2 / y4dy = 0

5. 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

Additional information

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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