Internal problem ID [13469]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 8. Review exercises for part of part II. page 143
Problem number: 47.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-{\mathrm e}^{4 x +3 y}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve(diff(y(x),x)=exp(4*x+3*y(x)),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\ln \left (3\right )}{3}+\frac {2 \ln \left (2\right )}{3}-\frac {\ln \left (-{\mathrm e}^{4 x}-4 c_{1} \right )}{3} \]
✓ Solution by Mathematica
Time used: 0.872 (sec). Leaf size: 24
DSolve[y'[x]==Exp[4*x+3*y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {1}{3} \log \left (-\frac {3}{4} \left (e^{4 x}+4 c_1\right )\right ) \]