Final answer to the problem
$-e^x\cdot x+e^x=C_0-1$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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 $\int xe^xdx$ and replace the result in the differential equation
$1=e^x\cdot x-e^x+C_0$
2
Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side
$-e^x\cdot x+e^x=C_0-1$
Final answer to the problem
$-e^x\cdot x+e^x=C_0-1$