Internal problem ID [902]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number: 16.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {y}{x}=\frac {7}{x^{2}}+3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(x),x) +1/x*y(x)=7/x^2+3,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\frac {3 x^{2}}{2}+7 \ln \left (x \right )+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 24
DSolve[y'[x] +1/x*y[x]==7/x^2+3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {3 x}{2}+\frac {7 \log (x)}{x}+\frac {c_1}{x} \]