What is the solution for y^'=(5+12x)/(xy^2),y(1)=3 ?

The solution for y^'=(5+12x)/(xy^2),y(1)=3 is y=\sqrt[3]{15ln(x)+36x-9}

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y^'=(5+12x)/(xy^2),y(1)=3

y^{^{'}} = \frac{5 + 12 x}{x y ^{2}}, y (1) = 3

Solution steps

y^{'} (x) = \frac{5 + 12 x}{x y ^{2}}

Solve separable ODE:

\frac{d y}{d x} = y (\frac{1}{x}) + y

y^{^{'}} = \frac{1 + 2 y}{4 - x ^{2}}, y (1) = 0

\frac{d v}{d t} = 5 - 4 v

\frac{d y}{d x} y = sinh (11 x)

\frac{1}{y + y} d y = \frac{1}{x + x} d x

What is the solution for y^'=(5+12x)/(xy^2),y(1)=3 ?
The solution for y^'=(5+12x)/(xy^2),y(1)=3 is y=\sqrt[3]{15ln(x)+36x-9}