Internal problem ID [13265]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.4 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=40 \,{\mathrm e}^{2 x} x} \] With initial conditions \begin {align*} [y \left (0\right ) = 4] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 16
dsolve([diff(y(x),x)=4*x*10*exp(2*x),y(0) = 4],y(x), singsol=all)
\[ y \left (x \right ) = 14+\left (20 x -10\right ) {\mathrm e}^{2 x} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 21
DSolve[{y'[x]==4*x*10*Exp[2*x],{y[0]==4}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 \left (5 e^{2 x} (2 x-1)+7\right ) \]