Question

Find the general solution. y'''-2y''+y'=0

Answer 1

$let \: \\ \frac{d}{dx} = m \\ eqn \: becomes \\ {m}^{3} - 2 {m}^{2} + m = 0 \\ m( {m}^{2} - 2m + 1) = 0 \\ m(m - 1) {}^{2} = 0 \\ m = 0 \: 1 \: 1 \\ cf \: = a {e}^{0x} + (b + cx) {e}^{x} \\ pi = 0 \\ y = cf + pi \\ y = cf \\ y = a + (bx + c) {e}^{x}$
mark as brainliest if helped