Internal problem ID [14245]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 16.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {9 x y}{9 x^{2}+49}=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(x),x)-9*x/(9*x^2+49)*y(x)=x,y(x), singsol=all)
\[ y \left (x \right ) = x^{2}+\frac {49}{9}+\sqrt {9 x^{2}+49}\, c_{1} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 26
DSolve[y'[x]-9*x/(9*x^2+49)*y[x]==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2+c_1 \sqrt {9 x^2+49}+\frac {49}{9} \]