Internal problem ID [14384]
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: 41.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _rational, _dAlembert]
\[ \boxed {y^{4}+\left (t^{4}-y^{3} t \right ) y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 3.047 (sec). Leaf size: 103
dsolve([y(t)^4+(t^4-t*y(t)^3)*diff(y(t),t)=0,y(1) = 2],y(t), singsol=all)
\[ y \left (t \right ) = \frac {{\mathrm e}^{-\operatorname {RootOf}\left (6 i \pi \_Z220 +\operatorname {LambertW}\left (\_Z222 , -{\mathrm e}^{-3 \textit {\_Z}}\right )+3 \textit {\_Z} +3 \ln \left (2\right )+6 i \pi \_Z223 \right )}}{\left (-\frac {{\mathrm e}^{-3 \operatorname {RootOf}\left (6 i \pi \_Z220 +\operatorname {LambertW}\left (\_Z222 , -{\mathrm e}^{-3 \textit {\_Z}}\right )+3 \textit {\_Z} +3 \ln \left (2\right )+6 i \pi \_Z223 \right )}}{t^{3} \operatorname {LambertW}\left (\_Z222 , -\frac {{\mathrm e}^{-3 \operatorname {RootOf}\left (6 i \pi \_Z220 +\operatorname {LambertW}\left (\_Z222 , -{\mathrm e}^{-3 \textit {\_Z}}\right )+3 \textit {\_Z} +3 \ln \left (2\right )+6 i \pi \_Z223 \right )}}{t^{3}}\right )}\right )^{\frac {1}{3}}} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y[t]^4+(t^4-t*y[t]^3)*y'[t]==0,{y[1]==2}},y[t],t,IncludeSingularSolutions -> True]
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