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Popular Calculus >

y=(2y^4+2x)(dy)/(dx)

Solution

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

Solution

y = - \frac{c _{1} + c _{1}^{2} + 4 x}{2}, y = - - \frac{c _{1} + c _{1}^{2} + 4 x}{2}, y = - \frac{c _{1} - c _{1}^{2} + 4 x}{2}, y = - - \frac{c _{1} - c _{1}^{2} + 4 x}{2}

Solution steps

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

Solve exact ODE:

y = - \frac{c _{1} + c _{1}^{2} + 4 x}{2}, y = - - \frac{c _{1} + c _{1}^{2} + 4 x}{2}, y = - \frac{c _{1} - c _{1}^{2} + 4 x}{2}, y = - - \frac{c _{1} - c _{1}^{2} + 4 x}{2}

y = - \frac{c _{1} + c _{1}^{2} + 4 x}{2}, y = - - \frac{c _{1} + c _{1}^{2} + 4 x}{2}, y = - \frac{c _{1} - c _{1}^{2} + 4 x}{2}, y = - - \frac{c _{1} - c _{1}^{2} + 4 x}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y=(2y^4+2x)(dy)/(dx) ?
The solution for y=(2y^4+2x)(dy)/(dx) is