ODE No. 1748

\[ 4 y(x) y''(x)-3 y'(x)^2+4 y(x)=0 \]

✓ Mathematica : cpu = 0.323465 (sec), leaf count = 43

DSolve[4*y[x] - 3*Derivative[1][y][x]^2 + 4*y[x]*Derivative[2][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \frac {\left (c_1{}^2 x^2+2 c_2 c_1{}^2 x-64+c_2{}^2 c_1{}^2\right ){}^2}{256 c_1{}^2}\right \}\right \}\]

✓ Maple : cpu = 0.123 (sec), leaf count = 67

dsolve(4*diff(diff(y(x),x),x)*y(x)-3*diff(y(x),x)^2+4*y(x)=0,y(x))

\[y \left (x \right ) = 0\]