Internal problem ID [4016]
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]
\[ \boxed {{y^{\prime }}^{2}-7 y^{\prime }=-12} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)^2-7*diff(y(x),x)+12 = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = 4 x +c_{1} y \left (x \right ) = 3 x +c_{1} \end{align*}
✓ Solution by Mathematica
Time used: 0.003 (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*}