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Popular Calculus >

(y^4-x^2)*(dy)/(dx)=-xy

Solution

(y^{4} - x^{2}) \cdot \frac{d y}{d x} = - x y

Solution

y = c_{1} + - x^{2} + c_{1}^{2}, y = - c_{1} + - x^{2} + c_{1}^{2}, y = c_{1} - - x^{2} + c_{1}^{2}, y = - c_{1} - - x^{2} + c_{1}^{2}

Solution steps

(y^{4} - x^{2}) \cdot \frac{d y}{d x} = - x y

Solve exact ODE:

y = c_{1} + - x^{2} + c_{1}^{2}, y = - c_{1} + - x^{2} + c_{1}^{2}, y = c_{1} - - x^{2} + c_{1}^{2}, y = - c_{1} - - x^{2} + c_{1}^{2}

y = c_{1} + - x^{2} + c_{1}^{2}, y = - c_{1} + - x^{2} + c_{1}^{2}, y = c_{1} - - x^{2} + c_{1}^{2}, y = - c_{1} - - x^{2} + c_{1}^{2}

Graph

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Frequently Asked Questions (FAQ)

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