Internal problem ID [1016]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Transformation of Nonlinear Equations into Separable
Equations. Section 2.4 Page 68
Problem number: 41.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _rational, [_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {-6 x +y-3}{2 x -y-1}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.593 (sec). Leaf size: 51
dsolve(diff(y(x),x)=(-6*x+y(x)-3)/(2*x-y(x)-1),y(x), singsol=all)
\[ y \relax (x ) = -3-\frac {\frac {\RootOf \left (\textit {\_Z}^{25}-5 \left (x +1\right )^{5} c_{1} \textit {\_Z}^{5}-\left (x +1\right )^{5} c_{1}\right )^{20}}{c_{1}}-3 \left (x +1\right )^{5}}{\left (x +1\right )^{4}} \]
✓ Solution by Mathematica
Time used: 60.094 (sec). Leaf size: 3011
DSolve[y'[x]==(-6*x+y[x]-3)/(2*x-y[x]-1),y[x],x,IncludeSingularSolutions -> True]
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