What is the solution for (3v+v^2)/(v+1)=x(dv)/(dx)+v ?

The solution for (3v+v^2)/(v+1)=x(dv)/(dx)+v is v=\W(x^2c_{1})

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(3v+v^2)/(v+1)=x(dv)/(dx)+v

\frac{3 v + v ^{2}}{v + 1} = x \frac{d v}{d x} + v

v = W (x^{2} c_{1})

Solution steps

\frac{3 v + v ^{2}}{v + 1} = x \frac{d v}{d x} + v

Solve separable ODE:

v = W (x^{2} c_{1})

v = W (x^{2} c_{1})

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

20 + 53 e^{k t}

\frac{3 x - 1}{( x - 1 ) ^{3}}

\int 6 x + 2 d x

(x + 2)^{3} - e^{3 x}

What is the solution for (3v+v^2)/(v+1)=x(dv)/(dx)+v ?
The solution for (3v+v^2)/(v+1)=x(dv)/(dx)+v is v=\W(x^2c_{1})