Internal problem ID [14314]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact]
\[ \boxed {2 t \sin \left (y\right )-2 \sin \left (t^{2}\right ) y t +\left (t^{2} \cos \left (y\right )+\cos \left (t^{2}\right )\right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.078 (sec). Leaf size: 19
dsolve((2*t*sin(y(t))-2*t*y(t)*sin(t^2))+(t^2*cos(y(t))+cos(t^2) )*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) \cos \left (t^{2}\right )+t^{2} \sin \left (y \left (t \right )\right )+c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.365 (sec). Leaf size: 21
DSolve[(2*t*Sin[y[t]]-2*t*y[t]*Sin[t^2])+(t^2*Cos[y[t]]+Cos[t^2] )*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [t^2 \sin (y(t))+y(t) \cos \left (t^2\right )=c_1,y(t)\right ] \]