Solve the following differential equations:
1. Eliminate a and b from y = ae^3x + be^x, find the required ODE
2. (x + y)2 (x + y) = xy(1 +
3. cos (x + y) dy = dx
4. y(1 +e^x/y) dx + e^x/y(y - x)dy = 0
5. (x2 + y2)dx - 2xydy = 0
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