What is the solution for (dy)/(dx)=(4y+1)/(3x-2) ?

The solution for (dy)/(dx)=(4y+1)/(3x-2) is y=(c_{1}(3x-2)^{4/3})/4-1/4

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(dy)/(dx)=(4y+1)/(3x-2)

\frac{d y}{d x} = \frac{4 y + 1}{3 x - 2}

y = \frac{c _{1} ( 3 x - 2 ) ^{\frac{4}{3}}}{4} - \frac{1}{4}

Solution steps

\frac{d y}{d x} = \frac{4 y + 1}{3 x - 2}

Solve separable ODE:

y = \frac{c _{1} ( 3 x - 2 ) ^{\frac{4}{3}}}{4} - \frac{1}{4}

y = \frac{c _{1} ( 3 x - 2 ) ^{\frac{4}{3}}}{4} - \frac{1}{4}

What is the solution for (dy)/(dx)=(4y+1)/(3x-2) ?
The solution for (dy)/(dx)=(4y+1)/(3x-2) is y=(c_{1}(3x-2)^{4/3})/4-1/4