y'-4y/x=x^5e^x
You asked:
Investigate the equation: \(y^{\prime} - \frac{4 y}{x} = {x}^{5} {e}^{x}\).
MathBot Answer:
\[y{\left(x \right)} = x^{4} \left(- e^{x} + x e^{x} + C_{1}\right)\]
\(C_{1}\) is an arbitrary constant.
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).