Internal problem ID [14378]
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: 35.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _rational, _Bernoulli]
\[ \boxed {y^{\prime }-\frac {4 y^{2}-t^{2}}{2 t y}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 16
dsolve([diff(y(t),t)=(4*y(t)^2-t^2)/(2*t*y(t)),y(1) = 1],y(t), singsol=all)
\[ y \left (t \right ) = \frac {\sqrt {2 t^{2}+2}\, t}{2} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[t]==(4*y[t]^2-t^2)/(2*t*y[t]),{y[1]==1}},y[t],t,IncludeSingularSolutions -> True]
{}