Internal problem ID [3070]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 12
Problem number: 322.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {\left (x -a \right ) \left (x -b \right ) y^{\prime }+k y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 37
dsolve((x-a)*(x-b)*diff(y(x),x)+k*y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} \left (x -a \right )^{-\frac {k}{a -b}} \left (x -b \right )^{\frac {k}{a -b}} \]
✓ Solution by Mathematica
Time used: 0.053 (sec). Leaf size: 39
DSolve[(x-a)(x-b)y'[x]+k y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{\frac {k (\log (x-b)-\log (x-a))}{a-b}} \\ y(x)\to 0 \\ \end{align*}