Internal problem ID [14083]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 46.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\sin \left (x \right )^{3} \tan \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(x),x)=sin(x)^3*tan(x),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\sin \left (x \right )^{3}}{3}-\sin \left (x \right )+\ln \left (\sec \left (x \right )+\tan \left (x \right )\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 23
DSolve[y'[x]==Sin[x]^3*Tan[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \text {arctanh}(\sin (x))-\frac {1}{3} \sin ^3(x)-\sin (x)+c_1 \]