What is the solution for (dy)/(dt)=3y+y^6,y(0)=1 ?

The solution for (dy)/(dt)=3y+y^6,y(0)=1 is y=\sqrt[5]{(3e^{15t})/(4-e^{15t)}}

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(dy)/(dt)=3y+y^6,y(0)=1

\frac{d y}{d t} = 3 y + y^{6}, y (0) = 1

y = 5 \frac{3 e ^{15 t}}{4 - e ^{15 t}}

Solution steps

\frac{d y}{d t} = 3 y + y^{6}

Solve Bernoulli ODE:

y = 5 \frac{3 e ^{15 t}}{4 - e ^{15 t}}

y = 5 \frac{3 e ^{15 t}}{4 - e ^{15 t}}

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What is the solution for (dy)/(dt)=3y+y^6,y(0)=1 ?
The solution for (dy)/(dt)=3y+y^6,y(0)=1 is y=\sqrt[5]{(3e^{15t})/(4-e^{15t)}}