Internal problem ID [4250]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 34
Problem number: 1025.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [_quadrature]
\[ \boxed {{y^{\prime }}^{3}-7 y^{\prime }=-6} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x)^3-7*diff(y(x),x)+6 = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = 2 x +c_{1} y \left (x \right ) = x +c_{1} y \left (x \right ) = -3 x +c_{1} \end{align*}
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 29
DSolve[(y'[x])^3-7 y'[x]+6==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -3 x+c_1 y(x)\to x+c_1 y(x)\to 2 x+c_1 \end{align*}