What is the solution for 2y(x+1)dy=xdx ?

The solution for 2y(x+1)dy=xdx is y=sqrt(x+1-ln(x+1)+c_{1)},y=-sqrt(x+1-ln(x+1)+c_{1)}

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2y(x+1)dy=xdx

2 y (x + 1) d y = x d x

y = x + 1 - ln (x + 1) + c_{1}, y = - x + 1 - ln (x + 1) + c_{1}

Solution steps

2 y (x + 1) d y = x d x

Solve separable ODE:

y = x + 1 - ln (x + 1) + c_{1}, y = - x + 1 - ln (x + 1) + c_{1}

y = x + 1 - ln (x + 1) + c_{1}, y = - x + 1 - ln (x + 1) + c_{1}

What is the solution for 2y(x+1)dy=xdx ?
The solution for 2y(x+1)dy=xdx is y=sqrt(x+1-ln(x+1)+c_{1)},y=-sqrt(x+1-ln(x+1)+c_{1)}