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Homogeneous equations

Solving

Concept 4 of 7 in Differential Equations

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Think about this

dydx=x+yx\dfrac{dy}{dx} = \dfrac{x + y}{x} won't separate: xx and yy are tangled together. But the right side is 1+yx1 + \dfrac{y}{x}. What one substitution untangles it?