Internal problem ID [11364]
Book: A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag,
NY. 2015.
Section: Chapter 1, First order differential equations. Section 1.1 First order equations. Exercises
page 10
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {x^{\prime }+2 x=t^{2}+4 t +7} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 20
dsolve(diff(x(t),t)+2*x(t)=t^2+4*t+7,x(t), singsol=all)
\[ x \left (t \right ) = \frac {t^{2}}{2}+\frac {3 t}{2}+\frac {11}{4}+{\mathrm e}^{-2 t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.119 (sec). Leaf size: 28
DSolve[x'[t]+2*x[t]==t^2+4*t+7,x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to \frac {1}{4} \left (2 t^2+6 t+11\right )+c_1 e^{-2 t} \]