Question

The solution of the differential equation (D2 - 4D)y = 0 is​

Answer 1

Answer:

$the \: auxilary \: equation \: is \\ \\ m(m - 4) = 0 \\ m = 0 \: and \: 4 \\ the \: solution \: is \\ y = c1 + c2 \: {e}^{4x}$

Answer 2

Concept

A equation is an equation that relates one or more unknown functions and their derivatives.

Given

(D2-4D)y=0

To answer

The solution of equation.

Explanation

The given equation is

(D2-4D)y=0

taking y to other side

D(D-4)=0

D=0, D=4

Put the price of 4 within the given equation

16y=0

y=0

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