y'+4*t*y=8*t
You asked:
Investigate the equation: \(y^{\prime} + 4 t y = 8 t\).
MathBot Answer:
\[y{\left(t \right)} = 2 + C_{1} e^{- 2 t^{2}}\]
\(C_{1}\) is an arbitrary constant.
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).