4.3.3 $y^{\prime }(x)+2(1-x\sqrt{y(x)})y(x)=0$

ODE
$$y^{\prime }(x)+2(1-x\sqrt{y(x)})y(x)=0$$ ODE Classification

[_Bernoulli]

Book solution method
The Bernoulli ODE

Mathematica ✓
cpu = 0.018551 (sec), leaf count = 16

$$\left\{\{y(x)\to \frac{1}{(c_1{e}^x+x+1){}^2}\}\right\}$$

Maple ✓
cpu = 0.008 (sec), leaf count = 17

$$\{\frac{1}{\sqrt{y\left(x\right)}}-x-1-{\mathrm{e}}^x\mathit{\_}\mathit{C}\mathit{1}=0\}$$ Mathematica raw input

DSolve[2*(1 - x*Sqrt[y[x]])*y[x] + y'[x] == 0,y[x],x]

Mathematica raw output

{{y[x] -> (1 + x + E^x*C[1])^(-2)}}

Maple raw input

dsolve(diff(y(x),x)+2*y(x)*(1-x*y(x)^(1/2)) = 0, y(x),'implicit')

Maple raw output

1/y(x)^(1/2)-x-1-exp(x)*_C1 = 0