Question

Find an explicit solution of the given initial-value problem.\\ $\frac{dy}{dt} + 2y = 1$, $y(0) = \frac{9}{2}$\ $y = 2e^{-2t} + \frac{1}{2}$

          Find an explicit solution of the given initial-value problem.\\
$\frac{dy}{dt} + 2y = 1$, $y(0) = \frac{9}{2}$\
$y = 2e^{-2t} + \frac{1}{2}$

Find an explicit solution of the given initial-value problem.

(dy)/(dt) + 2y = 1, y(0) = (9)/(2)y = 2e^-2t + (1)/(2)

Added by Hannah S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

02/17/2023

Step 1

Step 1: Rewrite the differential equation in standard form Given: (dy)/(dt) + 2y = 1 This can be rewritten as dy/dt = 1 - 2y Show more…

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Find an explicit solution of the given initial-value problem. (dy)/(dt) + 2y = 1, y(0) = (9)/(2) y = Need Help? Find an explicit solution of the given initial-value problem dy + 2y = 1, y(0) = (9)/(2) y = 2e^x Need Help? ReadIt