What is the solution for (ln(y))^7(dy)/(dx)=x^7y,y(1)=e^2 ?

The solution for (ln(y))^7(dy)/(dx)=x^7y,y(1)=e^2 is y=e^{\sqrt[8]{x^8+255}}

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(ln(y))^7(dy)/(dx)=x^7y,y(1)=e^2

(ln (y))^{7} \frac{d y}{d x} = x^{7} y, y (1) = e^{2}

Solution steps

(ln (y))^{7} \frac{d y}{d x} = x^{7} y

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What is the solution for (ln(y))^7(dy)/(dx)=x^7y,y(1)=e^2 ?
The solution for (ln(y))^7(dy)/(dx)=x^7y,y(1)=e^2 is y=e^{\sqrt[8]{x^8+255}}