ODE
\[ x^5 y'(x)=1-3 x^4 y(x) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✓
cpu = 0.162132 (sec), leaf count = 15
\[\left \{\left \{y(x)\to \frac {-1+c_1 x}{x^4}\right \}\right \}\]
Maple ✓
cpu = 0.005 (sec), leaf count = 15
\[\left [y \left (x \right ) = \frac {-\frac {1}{x}+\textit {\_C1}}{x^{3}}\right ]\] Mathematica raw input
DSolve[x^5*y'[x] == 1 - 3*x^4*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (-1 + x*C[1])/x^4}}
Maple raw input
dsolve(x^5*diff(y(x),x) = 1-3*x^4*y(x), y(x))
Maple raw output
[y(x) = (-1/x+_C1)/x^3]