Find the solution of the initial value problem: dT +0.06T = 0.06e-0.04t where T(0) = 60 dt Step 1: Find the integrating factor Step 2: Multiply both sides of the equation by the integrating factor. Step 3: Write the equation in the form [f(T, t)]'= g(t): f(T, t): g(t) = Step 4: Solve the initial value problem: T(t) =
Find the solution of the initial value problem: dT +0.06T = 0.06e-0.04t where T(0) = 60 dt Step 1: Find the integrating factor Step 2: Multiply both sides of the equation by the integrating factor. Step 3: Write the equation in the form [f(T, t)]'= g(t): f(T, t): g(t) = Step 4: Solve the initial value problem: T(t) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find the solution of the initial value problem:
dT +0.06T = 0.06e-0.04t where T(0) = 60
dt
Step 1: Find the integrating factor
Step 2: Multiply both sides of the equation by the
integrating factor.
Step 3: Write the equation in the form
[f(T,t)]'= g(t):
f(T, t) =
=
g(t) =
Step 4: Solve the initial value problem:
T(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc167378a-6772-4355-bdb0-a5fec1af8d0e%2F02b64755-cca3-4136-96fb-bd1f7616ecaa%2Flqblvx7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the solution of the initial value problem:
dT +0.06T = 0.06e-0.04t where T(0) = 60
dt
Step 1: Find the integrating factor
Step 2: Multiply both sides of the equation by the
integrating factor.
Step 3: Write the equation in the form
[f(T,t)]'= g(t):
f(T, t) =
=
g(t) =
Step 4: Solve the initial value problem:
T(t) =
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