Internal problem ID [14165]
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: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {4 \sinh \left (4 y\right ) y^{\prime }=6 \cosh \left (3 x \right )} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 17
dsolve(4*sinh(4*y(x))*diff(y(x),x)=6*cosh(3*x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\operatorname {arccosh}\left (2 \sinh \left (3 x \right )+6 c_{1} \right )}{4} \]
✓ Solution by Mathematica
Time used: 2.75 (sec). Leaf size: 41
DSolve[4*Sinh[4*y[x]]*y'[x]==6*Cosh[3*x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{4} \text {arccosh}(2 (\sinh (3 x)+2 c_1)) \\ y(x)\to \frac {1}{4} \text {arccosh}(2 (\sinh (3 x)+2 c_1)) \\ \end{align*}