Final answer to the problem
$y=\sqrt{2\left(\frac{1}{-2x^{2}}+C_0\right)},\:y=-\sqrt{2\left(\frac{1}{-2x^{2}}+C_0\right)}$
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Step-by-step Solution
How should I solve this problem?
- Separable Differential Equation
- Exact Differential Equation
- Linear Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Load more...
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1
Rewrite the differential equation using Leibniz notation
$x^3\frac{dy}{dx}+\frac{-1}{y}=0$
Learn how to solve problems step by step online.
$x^3\frac{dy}{dx}+\frac{-1}{y}=0$
Learn how to solve problems step by step online. Solve the differential equation x^3y^'+-1/y=0. Rewrite the differential equation using Leibniz notation. Divide all terms of the equation by x^3. Zero divided by anything is equal to zero. Grouping the terms of the differential equation.
Final answer to the problem
$y=\sqrt{2\left(\frac{1}{-2x^{2}}+C_0\right)},\:y=-\sqrt{2\left(\frac{1}{-2x^{2}}+C_0\right)}$
