Internal problem ID [15565]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 3. Section 24.2. Solving the Cauchy problem for linear differential equation with
constant coefficients. Exercises page 249
Problem number: 842.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x^{\prime \prime }+6 x^{\prime }=12 t +2} \] With initial conditions \begin {align*} [x \left (0\right ) = 0, x^{\prime }\left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 7
dsolve([diff(x(t),t$2)+6*diff(x(t),t)=12*t+2,x(0) = 0, D(x)(0) = 0],x(t), singsol=all)
\[ x = t^{2} \]
✓ Solution by Mathematica
Time used: 0.126 (sec). Leaf size: 8
DSolve[{x''[t]+6*x'[t]==12*t+2,{x[0]==0,x'[0]==0}},x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to t^2 \]