Internal problem ID [13314]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page
90
Problem number: 4.4 (f).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-{\mathrm e}^{2 x -3 y}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 24
dsolve(diff(y(x),x)=exp(2*x-3*y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\ln \left (3\right )}{3}-\frac {\ln \left (2\right )}{3}+\frac {\ln \left ({\mathrm e}^{2 x}+2 c_{1} \right )}{3} \]
✓ Solution by Mathematica
Time used: 0.855 (sec). Leaf size: 24
DSolve[y'[x]==Exp[2*x-3*y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{3} \log \left (\frac {3}{2} \left (e^{2 x}+2 c_1\right )\right ) \]