IDZ 11.1 - Option 18. Decisions Ryabushko AP

IDZ 11.1 - Option 18. Decisions Ryabushko AP

1. Find the general solution of (general integral) of the differential equation.

1.18 sinx • y ´= ycosx + 2cosx


2. Find the general solution of (general integral) of the differential equation.

2.18 (1 + x3) y3dx - (y2 - 1) x3dy = 0


3. Find the general solution of (general integral) of the differential equation.

3.18 (4x2 + 3xy + y2) dx + (4y2 + 3xy + x2) dy = 0


4. Find a particular solution of (partial integral) of the differential equation.

4.18 xy + (x + 1) y = 3x2e-x, y (1) = 0.


5. Find the general solution of the differential equation.

5.18 yx + x = -yx2

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