IDZ 11.2 - Option 27. Decisions of 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.
1.27 y'' = 2cosxsin2x - cos3x, x0 = π / 2, y (0) = 2/3, y'(0) = 2.
- Find the general solution of the differential equation that admit a lowering of the order
2.27 2xy''y' = y'2 - 4
- Solve the Cauchy problem for differential equations admitting a reduction of order.
3.27 y'' = y'/ √y, y (0) = 1, y'(0) = 2.
- Integrate the following equation.
4.27 (y / √ (1-x2y2) -2x) dx + xdy / √ (1-x2y2) = 0
- Write the equation of the curve passing through the point A (x0, y0), if it is known that the intercept of the tangent to the curve on the y-axis is equal to half the sum of the coordinates of the touch.
Additional information
Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.