Internal problem ID [7032]
Book: Selected problems from homeworks from different courses
Section: Math 2520, summer 2021. Differential Equations and Linear Algebra. Normandale
college, Bloomington, Minnesota
Problem number: HW 1 problem 7(b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {t x^{\prime }+2 x=4 \,{\mathrm e}^{t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(t*diff(x(t),t)+2*x(t)=4*exp(t),x(t), singsol=all)
\[ x \left (t \right ) = \frac {\left (4 t -4\right ) {\mathrm e}^{t}+c_{1}}{t^{2}} \]
✓ Solution by Mathematica
Time used: 0.051 (sec). Leaf size: 20
DSolve[t*x'[t]+2*x[t]==4*Exp[t],x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to \frac {4 e^t (t-1)+c_1}{t^2} \]