What is the solution for (dy)/(dx)=((10+15x))/(xy^2),y(1)=3 ?

The solution for (dy)/(dx)=((10+15x))/(xy^2),y(1)=3 is y=\sqrt[3]{30ln(x)+45x-18}

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(dy)/(dx)=((10+15x))/(xy^2),y(1)=3

\frac{d y}{d x} = \frac{( 10 + 15 x )}{x y ^{2}}, y (1) = 3

y = 3 30 ln (x) + 45 x - 18

Solution steps

\frac{d y}{d x} = \frac{( 10 + 15 x )}{x y ^{2}}

Solve separable ODE:

y = 3 30 ln (x) + 45 x - 18

y = 3 30 ln (x) + 45 x - 18

\frac{\partial}{\partial x} (x \cdot y)

\int \frac{3 x ^{2}}{1 + x ^{3}} d x

\frac{\partial}{\partial x} (16 - x^{2} - 4 y)

x \to \infty lim (\frac{2}{x !})

\frac{( csc ^{2} ( x ) )}{4}, 4 sin^{2} (x)

What is the solution for (dy)/(dx)=((10+15x))/(xy^2),y(1)=3 ?
The solution for (dy)/(dx)=((10+15x))/(xy^2),y(1)=3 is y=\sqrt[3]{30ln(x)+45x-18}