Final answer to the problem
$y=\sqrt[6]{6\left(C_0+\frac{x^{3}}{3}\right)},\:y=-\sqrt[6]{6\left(C_0+\frac{x^{3}}{3}\right)}$
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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
Rewrite the differential equation using Leibniz notation
$\frac{dy}{dx}=x^2y^{-5}$
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=x^2y^{-5}$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^'=x^2y^(-5). Rewrite the differential equation using Leibniz notation. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by x^2. Multiply the fraction by the term x^2.
Final answer to the problem
$y=\sqrt[6]{6\left(C_0+\frac{x^{3}}{3}\right)},\:y=-\sqrt[6]{6\left(C_0+\frac{x^{3}}{3}\right)}$
