Internal problem ID [3742]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 488.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (11-11 x -4 y\right ) y^{\prime }+25 y=62-8 x} \]
✓ Solution by Maple
Time used: 0.75 (sec). Leaf size: 218
dsolve((11-11*x-4*y(x))*diff(y(x),x) = 62-8*x-25*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {4 \left (x +\frac {1}{2}\right ) \left (i \sqrt {3}-1\right ) {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) c_{1} \left (x -\frac {1}{9}\right )^{2}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {2}{3}}+\left (-76 x +28\right ) {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) c_{1} \left (x -\frac {1}{9}\right )^{2}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {1}{3}}-64 \left (1+i \sqrt {3}\right ) \left (x +\frac {1}{2}\right )}{i \sqrt {3}\, {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) c_{1} \left (x -\frac {1}{9}\right )^{2}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {2}{3}}-16 i \sqrt {3}-{\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) c_{1} \left (x -\frac {1}{9}\right )^{2}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {2}{3}}+8 {\left (708588 \sqrt {\left (-\frac {32}{177147}+\left (x -\frac {1}{9}\right )^{2} c_{1} \right ) c_{1} \left (x -\frac {1}{9}\right )^{2}}+64-708588 \left (x -\frac {1}{9}\right )^{2} c_{1} \right )}^{\frac {1}{3}}-16} \]
✓ Solution by Mathematica
Time used: 60.174 (sec). Leaf size: 1677
DSolve[(11-11 x-4 y[x])y'[x]==62-8x -25 y[x],y[x],x,IncludeSingularSolutions -> True]
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