Internal problem ID [14175]
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: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-{\mathrm e}^{3 y+2 t}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve(diff(y(t),t)=exp(3*y(t)+2*t),y(t), singsol=all)
\[ y \left (t \right ) = -\frac {\ln \left (3\right )}{3}+\frac {\ln \left (2\right )}{3}-\frac {\ln \left (-{\mathrm e}^{2 t}-2 c_{1} \right )}{3} \]
✓ Solution by Mathematica
Time used: 0.927 (sec). Leaf size: 24
DSolve[y'[t]==Exp[3*y[t]+2*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {1}{3} \log \left (-\frac {3}{2} \left (e^{2 t}+2 c_1\right )\right ) \]