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Question: 10 find the solution of the differential equation 1 ...

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10. Find the solution of the differential equation (1 + e^x )y' + e^(x)y = e^x , such that y(0) = 1.

11. Find the general solution of the equation y' = (xy + y^2 + x^2) / x^2 in the region {(x, y) ∈ R^2 : x > 0}.

12. Find the general solution of the equation y' = 7e^(−y/x) + y/x in the region {(x, y) ∈ R^2 : x > 0}.

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