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Popular >

xy^2y^'=y^3-x^3

Solution

x y^{2} y^{^{'}} = y^{3} - x^{3}

Solution

y = x 3 - 3 ln (x) + c_{1}

Solution steps

x y^{2} y^{'} (x) = y^{3} - x^{3}

Solve Bernoulli ODE:

y = x 3 - 3 ln (x) + c_{1}

y = x 3 - 3 ln (x) + c_{1}

Graph

Popular Examples

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\int \frac{( 1 )}{25 x ^{2} - 16} d x

integral of (4x)/(2x^2+1)

\int \frac{4 x}{2 x ^{2} + 1} d x

(dy)/(dx)+6y=e^x

\frac{d y}{d x} + 6 y = e^{x}

integral of x^3+x^{1/3}

\int x^{3} + x^{\frac{1}{3}} d x

integral of 5sin^3(2xco)s^32x

\int 5 sin^{3} (2 x co) s^{3} 2 x d x

Frequently Asked Questions (FAQ)

What is the solution for xy^2y^'=y^3-x^3 ?
The solution for xy^2y^'=y^3-x^3 is y=x\sqrt[3]{-3ln(x)+c_{1}}