What is the solution for y(dy)/(dx)=5x(y^2+5)^9,y(9)=6 ?

The solution for y(dy)/(dx)=5x(y^2+5)^9,y(9)=6 is (x^2)/2 =-1/(80(y^2+5)^8)+81/2

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y(dy)/(dx)=5x(y^2+5)^9,y(9)=6

y \frac{d y}{d x} = 5 x (y^{2} + 5)^{9}, y (9) = 6

\frac{x ^{2}}{2} = - \frac{1}{80 ( y ^{2} + 5 ) ^{8}} + \frac{81}{2}

Solution steps

y \frac{d y}{d x} = 5 x (y^{2} + 5)^{9}

Solve separable ODE:

\frac{x ^{2}}{2} = - \frac{1}{80 ( y ^{2} + 5 ) ^{8}} + \frac{81}{2}

\frac{x ^{2}}{2} = - \frac{1}{80 ( y ^{2} + 5 ) ^{8}} + \frac{81}{2}

What is the solution for y(dy)/(dx)=5x(y^2+5)^9,y(9)=6 ?
The solution for y(dy)/(dx)=5x(y^2+5)^9,y(9)=6 is (x^2)/2 =-1/(80(y^2+5)^8)+81/2