Internal problem ID [12508]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 136.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {4 y^{\prime \prime }-12 y^{\prime }+9 y=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve(4*diff(y(x),x$2)-12*diff(y(x),x)+9*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{\frac {3 x}{2}} \left (c_{2} x +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 20
DSolve[4*y''[x]-12*y'[x]+9*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{3 x/2} (c_2 x+c_1) \]