What is the solution for y^'=(9x)/(y+x^2y),y(0)=-5 ?

The solution for y^'=(9x)/(y+x^2y),y(0)=-5 is y=-sqrt(9ln(1+x^2)+25)

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y^'=(9x)/(y+x^2y),y(0)=-5

y^{^{'}} = \frac{9 x}{y + x ^{2} y}, y (0) = - 5

y = - 9 ln (1 + x^{2}) + 25

Solution steps

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

Solve separable ODE:

y = - 9 ln (1 + x^{2}) + 25

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What is the solution for y^'=(9x)/(y+x^2y),y(0)=-5 ?
The solution for y^'=(9x)/(y+x^2y),y(0)=-5 is y=-sqrt(9ln(1+x^2)+25)