Final answer to the problem
$\frac{1}{4}\ln\left|-1+\frac{-2}{e^{2y}}\right|=x+C_0$
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Step-by-step Solution
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Rewrite the differential equation using Leibniz notation
Learn how to solve integration techniques problems step by step online.
$e^{-2y}\left(2+\frac{dy}{dx}\right)=-1$
Learn how to solve integration techniques problems step by step online. Solve the differential equation e^(-2y)(2+y^')=-1. Rewrite the differential equation using Leibniz notation. Multiplying polynomials e^{-2y} and 2+\frac{dy}{dx}. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 2e^{-2y} from both sides of the equation. 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.
Final answer to the problem
$\frac{1}{4}\ln\left|-1+\frac{-2}{e^{2y}}\right|=x+C_0$
