Final answer to the problem
$y=\sqrt[0]{C_1e^x}$
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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
Grouping the terms of the differential equation
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$\frac{dy}{dx}=ey-y$
Learn how to solve problems step by step online. Solve the differential equation dy/dx+y=ye. Grouping the terms of the differential equation. Combining like terms ey and -y. Subtract the values e and -1. 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
$y=\sqrt[0]{C_1e^x}$
