What is the solution for ln(y^6)(dy)/(dx)=x^6y,y(1)=e^2 ?

The solution for ln(y^6)(dy)/(dx)=x^6y,y(1)=e^2 is y=e^{sqrt((x^7+83)/(21))}

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ln(y^6)(dy)/(dx)=x^6y,y(1)=e^2

ln (y^{6}) \frac{d y}{d x} = x^{6} y, y (1) = e^{2}

y = e^{\frac{x ^{7} + 83}{21}}

Solution steps

ln (y^{6}) \frac{d y}{d x} = x^{6} y

Solve separable ODE:

y = e^{\frac{x ^{7} + 83}{21}}

y = e^{\frac{x ^{7} + 83}{21}}

What is the solution for ln(y^6)(dy)/(dx)=x^6y,y(1)=e^2 ?
The solution for ln(y^6)(dy)/(dx)=x^6y,y(1)=e^2 is y=e^{sqrt((x^7+83)/(21))}