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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $e^{\left(x-4\right)}$ from both sides of the equation
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$\frac{dy}{dx}=0-e^{\left(x-4\right)}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx+e^(x-4)=0. We need to isolate the dependent variable y, we can do that by simultaneously subtracting e^{\left(x-4\right)} from both sides of the equation. x+0=x, where x is any expression. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.