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Popular Calculus >

x^2(dy)/(dx)=xy+3y^2

Solution

x^{2} \frac{d y}{d x} = x y + 3 y^{2}

Solution

y = \frac{x}{- 3 ln ( x ) + c _{1}}

Solution steps

x^{2} \frac{d y}{d x} = x y + 3 y^{2}

Solve Bernoulli ODE:

y = \frac{x}{- 3 ln ( x ) + c _{1}}

y = \frac{x}{- 3 ln ( x ) + c _{1}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for x^2(dy)/(dx)=xy+3y^2 ?
The solution for x^2(dy)/(dx)=xy+3y^2 is y= x/(-3ln(x)+c_{1)}