What is the solution for (dy}{dx}=\frac{3x+2)/y ?

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

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(dy}{dx}=\frac{3x+2)/y

\frac{d y}{d x} = \frac{3 x + 2}{y}

y = 3 x^{2} + 4 x + c_{1}, y = - 3 x^{2} + 4 x + c_{1}

Solution steps

\frac{d y}{d x} = \frac{3 x + 2}{y}

Solve separable ODE:

y = 3 x^{2} + 4 x + c_{1}, y = - 3 x^{2} + 4 x + c_{1}

y = 3 x^{2} + 4 x + c_{1}, y = - 3 x^{2} + 4 x + c_{1}

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