What is the solution for (dy)/(dx)=2y+y^5,y(0)=1 ?

The solution for (dy)/(dx)=2y+y^5,y(0)=1 is y=\sqrt[4]{(2e^{8x})/(3-e^{8x)}}

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(dy)/(dx)=2y+y^5,y(0)=1

\frac{d y}{d x} = 2 y + y^{5}, y (0) = 1

y = 4 \frac{2 e ^{8 x}}{3 - e ^{8 x}}

Solution steps

\frac{d y}{d x} = 2 y + y^{5}

Solve Bernoulli ODE:

y = 4 \frac{2 e ^{8 x}}{3 - e ^{8 x}}

y = 4 \frac{2 e ^{8 x}}{3 - e ^{8 x}}

\frac{d}{d x} (ln (2 x^{2} - 3 x + 1))

t an g e n t f (x) = x x, at x = 9

x \to \infty lim (\frac{7.5 x + 120000}{x})

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What is the solution for (dy)/(dx)=2y+y^5,y(0)=1 ?
The solution for (dy)/(dx)=2y+y^5,y(0)=1 is y=\sqrt[4]{(2e^{8x})/(3-e^{8x)}}