Internal problem ID [3508]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 27
Problem number: 776.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{2}-7 y^{\prime }+12=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 17
dsolve(diff(y(x),x)^2-7*diff(y(x),x)+12 = 0,y(x), singsol=all)
\begin{align*} y \relax (x ) = 4 x +c_{1} \\ y \relax (x ) = 3 x +c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 21
DSolve[(y'[x])^2-7 y'[x]+12==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 3 x+c_1 \\ y(x)\to 4 x+c_1 \\ \end{align*}