If the general solution of a differential equation is y(t)equals=Upper C e Superscript negative 4 t Baseline plus 7Ce−4t+7, wh

Question

3 years ago

15

at is the solution that satisfies the initial condition y(0)equals=1010?

2 answers:

Maru [420] · Answer 1 · 2022-04-29T16:33:03+03:00

Maru [420]3 years ago

8 0

Answer:

$y(t) = 3e^{-4t}+7$

Step-by-step explanation:

$y(t) = Ce^{-4t}+7$

At y(0) = 10, when t = 0, y = 10.

$y(0) = 10 = Ce^{-4\times0}+7$

$10 = C+7$

$C = 3$

Hence, the solution is

$y(t) = 3e^{-4t}+7$

Anuta_ua [19.1K] · Answer 2 · 2022-04-29T18:29:33+03:00

5 0

Answer:

a

Step-by-step explanation:

If the general solution of a differential equation is ​y(t)equals=Upper C e Superscript negative 4 t Baseline plus 7Ce−4t+7​, wh