Question

Find the particular solution determined by the given condition. $$ \frac{ds}{dt} = 11t^2 + 7t - 3; s = 108 \text{ when } t = 0 $$ The particular solution that satisfies the given condition is $$s = \Box$$

Name: find the particular solution determined by the given condition fracdsdt 11t2 7t 3 s 108 text when t 0 the particular solution that satisfies the given condition is s box 09765
Uploaded: 2023-01-04T10:44:31-08:00
Duration: 1 min 12 s
Channel: Sri K
Description: find the particular solution determined by the given condition fracdsdt 11t2 7t 3 s 108 text when t 0 the particular solution that satisfies the given condition is s box 09765

          Find the particular solution determined by the given condition.
$$ \frac{ds}{dt} = 11t^2 + 7t - 3; s = 108 \text{ when } t = 0 $$
The particular solution that satisfies the given condition is $$s = \Box$$

$find the particular solution determined by the given condition fracdsdt 11t2 7t 3 s 108 text when t 0 the particular solution that satisfies the given condition is s box 09765$

Added by Timothy T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

01/04/2023

Step 1

Step 1: Integrate the given differential equation with respect to t to find the general solution for s. $$ s = \int (11t^2 + 7t - 3) dt $$ Step 2: Apply the power rule for integration, which states that $$ \int x^n dx = \frac{x^{n+1}}{n+1} + C $$ for $$ n \neq Show more…

Show all steps

Thanks for your feedback!

Find the particular solution determined by the given condition. $$ \frac{ds}{dt} = 11t^2 + 7t - 3; s = 108 \text{ when } t = 0 $$ The particular solution that satisfies the given condition is $$s = \Box$$