3.2 problem 1 (b)

Internal problem ID [14126]

Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 1 (b).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_rational]

\[ \boxed {y^{\prime }-\frac {1}{y^{2}}=-t^{2}} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}

Solution by Maple

dsolve([diff(y(t),t)+t^2=1/y(t)^2,y(0) = 0],y(t), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[{y'[t]+t^2==1/y[t]^2,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
 

Not solved