Final answer to the problem
$y=e^{-x}\left(e^x\cdot x-e^x+C_0\right)$
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Step-by-step Solution
How should I solve this problem?
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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1
Solve the integral $\int e^x\cdot xdx$ and replace the result in the differential equation
$e^xy=e^x\cdot x-e^x+C_0$
Learn how to solve integration by parts problems step by step online. Solve the differential equation e^xy=int(e^xx)dx. Solve the integral \int e^x\cdot xdx and replace the result in the differential equation. Find the explicit solution to the differential equation. We need to isolate the variable y.
Final answer to the problem
$y=e^{-x}\left(e^x\cdot x-e^x+C_0\right)$
