Final answer to the problem
$\ln\left|\frac{\sqrt{-x^2+6y^2}}{\sqrt{6}y}\right|=\ln\left|y\right|+C_0$
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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
Group the terms of the equation
$\left(3y^2-x^2\right)dy=-\left(\frac{xy}{2}\right)dx$
Learn how to solve differential equations problems step by step online.
$\left(3y^2-x^2\right)dy=-\left(\frac{xy}{2}\right)dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation (3y^2-x^2)dy+(xy)/2dx=0. Group the terms of the equation. Multiplying the fraction by -1. Divide both sides of the equation by dx. Rewrite the differential equation.
Final answer to the problem
$\ln\left|\frac{\sqrt{-x^2+6y^2}}{\sqrt{6}y}\right|=\ln\left|y\right|+C_0$
