Internal problem ID [14174]
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: 16.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-{\mathrm e}^{2 y+10 t}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(t),t)=exp(2*y(t)+10*t),y(t), singsol=all)
\[ y \left (t \right ) = \frac {\ln \left (5\right )}{2}-\frac {\ln \left (-{\mathrm e}^{10 t}-10 c_{1} \right )}{2} \]
✓ Solution by Mathematica
Time used: 0.928 (sec). Leaf size: 24
DSolve[y'[t]==Exp[2*y[t]+10*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {1}{2} \log \left (-\frac {e^{10 t}}{5}-2 c_1\right ) \]