Final answer to the problem
$y=C_1e^{-x}$
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Step-by-step Solution
How should I solve this problem?
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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
Divide all terms of the equation by $x$
Learn how to solve integrals of polynomial functions problems step by step online.
$\frac{dy}{dx}+\frac{xy}{x}=\frac{0}{x}$
Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation dy/dxx+xy=0. Divide all terms of the equation by x. Zero divided by anything is equal to zero. Simplify the fraction \frac{xy}{x} by x. We need to isolate the dependent variable y, we can do that by simultaneously subtracting y from both sides of the equation.
Final answer to the problem
$y=C_1e^{-x}$
