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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $e^{-x}$ from both sides of the equation
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$\frac{dy}{dx}=\frac{1}{\sqrt{x^2+1}}+6x-e^{-x}$
Learn how to solve problems step by step online. Solve the differential equation e^(-x)+dy/dx=1/((x^2+1)^1/2)+6x. We need to isolate the dependent variable y, we can do that by simultaneously subtracting e^{-x} from both sides of the equation. Combine all terms into a single fraction with \sqrt{x^2+1} as common denominator. 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. Simplify the expression \frac{1+6x\sqrt{x^2+1}-e^{-x}\sqrt{x^2+1}}{\sqrt{x^2+1}}dx.