4.753   y′(x)2 = y(x)

ODE

y′(x)2 = y(x)

ODE Classification

[_quadrature]

Book solution method
Missing Variables ODE, Independent variable missing, Solve for y

Mathematica
cpu = 0.0150853 (sec), leaf count = 31

{{                 } {                 }}
         1        2          1        2
  y(x) → 4 (x − c1)  ,  y(x) → 4 (c1 + x)

Maple
cpu = 0.034 (sec), leaf count = 31

{    ∘ ----              ∘ ----                 }
 x− 2  y(x)− -C1 = 0,x+ 2  y(x)− -C1 = 0,y(x) = 0

Mathematica raw input

DSolve[y'[x]^2 == y[x],y[x],x]

Mathematica raw output

{{y[x] -> (x - C[1])^2/4}, {y[x] -> (x + C[1])^2/4}}

Maple raw input

dsolve(diff(y(x),x)^2 = y(x), y(x),'implicit')

Maple raw output

y(x) = 0, x-2*y(x)^(1/2)-_C1 = 0, x+2*y(x)^(1/2)-_C1 = 0