What is the solution for (dy)/(dx)-y/(3x-1)=0 ?

The solution for (dy)/(dx)-y/(3x-1)=0 is y=c_{1}\sqrt[3]{3x-1}

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(dy)/(dx)-y/(3x-1)=0

\frac{d y}{d x} - \frac{y}{3 x - 1} = 0

y = c_{1} 3 3 x - 1

Solution steps

\frac{d y}{d x} - \frac{y}{3 x - 1} = 0

Solve separable ODE:

y = c_{1} 3 3 x - 1

y = c_{1} 3 3 x - 1

y^{^{'}} + x y = x y^{- \frac{1}{2}}

\frac{d z}{d t} + 2 e^{t + z} = 0

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

2 x y d x + y^{2} d y = 0

x 1 - y^{2} d x + y 1 - x^{2} d y = 0

What is the solution for (dy)/(dx)-y/(3x-1)=0 ?
The solution for (dy)/(dx)-y/(3x-1)=0 is y=c_{1}\sqrt[3]{3x-1}