What is the solution for (dy)/(dt)=3y+y^5,y(0)=1 ?

The solution for (dy)/(dt)=3y+y^5,y(0)=1 is y=\sqrt[4]{(3e^{12t})/(4-e^{12t)}}

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(dy)/(dt)=3y+y^5,y(0)=1

\frac{d y}{d t} = 3 y + y^{5}, y (0) = 1

Solution steps

\frac{d y}{d t} = 3 y + y^{5}

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What is the solution for (dy)/(dt)=3y+y^5,y(0)=1 ?
The solution for (dy)/(dt)=3y+y^5,y(0)=1 is y=\sqrt[4]{(3e^{12t})/(4-e^{12t)}}