Internal problem ID [12187]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 135.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+3 y^{\prime }-2 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 27
dsolve(diff(y(x),x$2)+3*diff(y(x),x)-2*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{\frac {\left (-3+\sqrt {17}\right ) x}{2}}+c_{2} {\mathrm e}^{-\frac {\left (3+\sqrt {17}\right ) x}{2}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 35
DSolve[y''[x]+3*y'[x]-2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-\frac {1}{2} \left (3+\sqrt {17}\right ) x} \left (c_2 e^{\sqrt {17} x}+c_1\right ) \]