Solve the following differential equation: $x\frac{dy}{dx} + 6x + 9 = 0$. Use the letter \"c\" (small case) to denote the arbitrary constant occuring in the general solution. y(x) =
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To solve the differential equation, we need to rewrite it in the standard form, which is in the form of y' = f(x, y). Given equation: 6y' + 6 + 9 = 0 Subtract 6 and 9 from both sides: 6y' = -15 Divide both sides by 6: y' = -15/6 Simplify the right side: y' = Show more…
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