Internal problem ID [14349]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.5, page 64
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Bernoulli]
\[ \boxed {y^{\prime }+3 y-\sqrt {y}\, \sin \left (t \right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(t),t)+3*y(t)=sqrt(y(t))*sin(t),y(t), singsol=all)
\[ \sqrt {y \left (t \right )}+\frac {2 \cos \left (t \right )}{13}-\frac {3 \sin \left (t \right )}{13}-{\mathrm e}^{-\frac {3 t}{2}} c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.193 (sec). Leaf size: 43
DSolve[y'[t]+3*y[t]==Sqrt[y[t]]*Sin[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {1}{169} e^{-3 t} \left (3 e^{3 t/2} \sin (t)-2 e^{3 t/2} \cos (t)+13 c_1\right ){}^2 \]