dx (1+1)-+x=t. dt

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question

solve the differential equation. If there is no initial condition,
give the general solution.

dx
26. (t+1) +x=t.
dt
Transcribed Image Text:dx 26. (t+1) +x=t. dt
Expert Solution
Step 1

The differential equation is given as

(t+1)dxdt+x=t

It can be rewritten as

dxdt+xt+1 = tt+1

It is a first order linear differential equation

Compare it with dxdt+Px = Q

Here

P = 1t+1Q = tt+1

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