ODE
\[ 4 y'(x)^2=9 x \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Dependent variable missing, Solve for \(y'\)
Mathematica ✓
cpu = 0.150107 (sec), leaf count = 27
\[\left \{\left \{y(x)\to -x^{3/2}+c_1\right \},\left \{y(x)\to x^{3/2}+c_1\right \}\right \}\]
Maple ✓
cpu = 0.069 (sec), leaf count = 19
\[\left [y \left (x \right ) = -x^{\frac {3}{2}}+\textit {\_C1}, y \left (x \right ) = x^{\frac {3}{2}}+\textit {\_C1}\right ]\] Mathematica raw input
DSolve[4*y'[x]^2 == 9*x,y[x],x]
Mathematica raw output
{{y[x] -> -x^(3/2) + C[1]}, {y[x] -> x^(3/2) + C[1]}}
Maple raw input
dsolve(4*diff(y(x),x)^2 = 9*x, y(x))
Maple raw output
[y(x) = -x^(3/2)+_C1, y(x) = x^(3/2)+_C1]