Internal problem ID [14214]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 56.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {3 y+1}{x +3}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve([diff(y(x),x)=(3*y(x)+1)/(x+3),y(0) = 1],y(x), singsol=all)
\[ y \left (x \right ) = -\frac {1}{3}+\frac {4 \left (x +3\right )^{3}}{81} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 26
DSolve[{y'[x]==(3*y[x]+1)/(x+3),{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {4 x^3}{81}+\frac {4 x^2}{9}+\frac {4 x}{3}+1 \]