What is the solution for y^'=5y+y^6,y(0)=1 ?

The solution for y^'=5y+y^6,y(0)=1 is y=\sqrt[5]{(5e^{25t})/(6-e^{25t)}}

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y^'=5y+y^6,y(0)=1

y^{^{'}} = 5 y + y^{6}, y (0) = 1

Solution steps

y^{'} (t) = 5 y + y^{6}

Solve Bernoulli ODE:

\int_{0}^{x} \frac{1}{t ^{2} + t + 1} d t

x \to 0 lim (sec (2 x))

\frac{1}{s - 4}

\int \frac{( 7 - 4 x ^{3} + 6 x ^{6} )}{x ^{6}} d x

\frac{d}{d x} (x^{5} (2 x - 1)^{7})

What is the solution for y^'=5y+y^6,y(0)=1 ?
The solution for y^'=5y+y^6,y(0)=1 is y=\sqrt[5]{(5e^{25t})/(6-e^{25t)}}