Internal problem ID [182]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.1, second order linear equations. Page 299
Problem number: 42.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {35 y^{\prime \prime }-y^{\prime }-12 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(35*diff(y(x),x$2)-diff(y(x),x)-12*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{1} {\mathrm e}^{\frac {41 x}{35}}+c_{2} \right ) {\mathrm e}^{-\frac {4 x}{7}} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 26
DSolve[35*y''[x]-y'[x]-12*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^{-4 x/7}+c_2 e^{3 x/5} \]