What is the solution for 3x-2ysqrt(2x+1)(dy)/(dx)=0,y(0)=-4 ?

The solution for 3x-2ysqrt(2x+1)(dy)/(dx)=0,y(0)=-4 is y=-sqrt((x-1)\sqrt{2x+1)+17}

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3x-2ysqrt(2x+1)(dy)/(dx)=0,y(0)=-4

3 x - 2 y 2 x + 1 \frac{d y}{d x} = 0, y (0) = - 4

y = - (x - 1) 2 x + 1 + 17

Solution steps

3 x - 2 y 2 x + 1 \frac{d y}{d x} = 0

Solve separable ODE:

y = - (x - 1) 2 x + 1 + 17

y = - (x - 1) 2 x + 1 + 17

What is the solution for 3x-2ysqrt(2x+1)(dy)/(dx)=0,y(0)=-4 ?
The solution for 3x-2ysqrt(2x+1)(dy)/(dx)=0,y(0)=-4 is y=-sqrt((x-1)\sqrt{2x+1)+17}