Internal problem ID [3244]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 498.
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 (3+9 x +21 y\right ) y^{\prime }-45-7 x +5 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.199 (sec). Leaf size: 62
dsolve((3+9*x+21*y(x))*diff(y(x),x) = 45+7*x-5*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {11}{3}-\frac {\RootOf \left (\left (x +5\right )^{7} c_{1} \textit {\_Z}^{49}-12 \left (x +5\right )^{7} c_{1} \textit {\_Z}^{42}+48 \left (x +5\right )^{7} c_{1} \textit {\_Z}^{35}-64 \left (x +5\right )^{7} c_{1} \textit {\_Z}^{28}-27\right )^{7} \left (x +5\right )}{3}+\frac {x}{3} \]
✓ Solution by Mathematica
Time used: 1.044 (sec). Leaf size: 7715
DSolve[(3+9 x+21 y[x])y'[x]==45 +7 x-5 y[x],y[x],x,IncludeSingularSolutions -> True]
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