Internal problem ID [8564]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 228.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (4 y+11 x -11\right ) y^{\prime }-25 y=8 x -62} \]
✓ Solution by Maple
Time used: 0.515 (sec). Leaf size: 218
dsolve((4*y(x)+11*x-11) *diff(y(x),x)-25*y(x)-8*x+62=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {4 \left (x +\frac {1}{2}\right ) \left (i \sqrt {3}-1\right ) {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) \left (x -\frac {1}{9}\right )^{2} c_{1}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {2}{3}}+\left (-76 x +28\right ) {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) \left (x -\frac {1}{9}\right )^{2} c_{1}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {1}{3}}-64 \left (x +\frac {1}{2}\right ) \left (1+i \sqrt {3}\right )}{i \sqrt {3}\, {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) \left (x -\frac {1}{9}\right )^{2} c_{1}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {2}{3}}-16 i \sqrt {3}-{\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) \left (x -\frac {1}{9}\right )^{2} c_{1}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {2}{3}}+8 {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) \left (x -\frac {1}{9}\right )^{2} c_{1}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {1}{3}}-16} \]
✓ Solution by Mathematica
Time used: 60.17 (sec). Leaf size: 1677
DSolve[(4*y[x]+11*x-11)*y'[x]-25*y[x]-8*x+62==0,y[x],x,IncludeSingularSolutions -> True]
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