Internal problem ID [3234]
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]]
Solve \begin {gather*} \boxed {\left (11-11 x -4 y\right ) y^{\prime }-62+8 x +25 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.226 (sec). Leaf size: 377
dsolve((11-11*x-4*y(x))*diff(y(x),x) = 62-8*x-25*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {22}{9}+\frac {36 \left (-1+9 x \right ) \left (-\frac {\left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}}{27}-\frac {16}{27 \left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}}-\frac {19}{27}+2 i \sqrt {3}\, \left (\frac {\left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}}{54}-\frac {8}{27 \left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}}\right )\right )}{-3 \left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}-\frac {48}{\left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}}+24+162 i \sqrt {3}\, \left (\frac {\left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}}{54}-\frac {8}{27 \left (64-8748 \left (-1+9 x \right )^{2} c_{1}+108 \sqrt {6561 \left (-1+9 x \right )^{4} c_{1}^{2}-96 \left (-1+9 x \right )^{2} c_{1}}\right )^{\frac {1}{3}}}\right )} \]
✓ Solution by Mathematica
Time used: 0.199 (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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