79.1.1 problem 1 (i)

Internal problem ID [18488]
Book : Elementary Differential Equations. By R.L.E. Schwarzenberger. Chapman and Hall. London. First Edition (1969)
Section : Chapter 3. Solutions of first-order equations. Exercises at page 47
Problem number : 1 (i)
Date solved : Tuesday, January 28, 2025 at 11:50:47 AM
CAS classification : [_quadrature]

\begin{align*} x^{\prime }&=3 t^{2}+4 t \end{align*}

With initial conditions

\begin{align*} x \left (1\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.006 (sec). Leaf size: 14

dsolve([diff(x(t),t)=3*t^2+4*t,x(1) = 0],x(t), singsol=all)
 

\[ x = t^{3}+2 t^{2}-3 \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 15

DSolve[{D[x[t],t]==3*t^2+4*t,{x[1]==0}},x[t],t,IncludeSingularSolutions -> True]
 

\[ x(t)\to t^3+2 t^2-3 \]