Internal problem ID [2045]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 12, page 46
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\tan \left (y\right )-\left (3 x +4\right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve(tan(y(x))=(3*x+4)*diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = \arcsin \left (\left (3 x +4\right )^{\frac {1}{3}} c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 23.059 (sec). Leaf size: 25
DSolve[Tan[y[x]]==(3*x+4)*y'[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \arcsin \left (e^{c_1} \sqrt [3]{3 x+4}\right ) \\ y(x)\to 0 \\ \end{align*}