83.14.4 problem 4

Internal problem ID [19183]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter III. Ordinary linear differential equations with constant coefficients. Exercise III (F) at page 42
Problem number : 4
Date solved : Tuesday, January 28, 2025 at 01:11:45 PM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-12 y&=\cos \left (4 x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.056 (sec). Leaf size: 1264

dsolve(diff(y(x),x$3)+3*diff(y(x),x$2)-diff(y(x),x)-12*y(x)=cos(4*x),y(x), singsol=all)
 

\[ \text {Expression too large to display} \]

✓ Solution by Mathematica

Time used: 0.246 (sec). Leaf size: 4269

DSolve[D[y[x],{x,3}]+3*D[y[x],{x,2}]-D[y[x],{x,2}]-12*y[x]==Cos[4*x],y[x],x,IncludeSingularSolutions -> True]
 

Too large to display