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Determine the order of the given differential equation and state whether the equation is linear or nonlinear. dy, d'y + (cos² t)y = t" dt dt6 (a) The order of this differential equation is (b) The equation is Choose Choose Linear Nonlinear Submit answer

Determine the order of the given differential equation and state whether the equation is linear or nonlinear. dy, d'y + (cos² t)y = t" dt dt6 (a) The order of this differential equation is (b) The equation is Choose Choose Linear Nonlinear Submit answer

Advanced Engineering Mathematics
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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Determine the order of the given differential equation and state whether the equation is linear or nonlinear. dy d'y + (cos t)y = t dt dt6 (a) The order of this differential equation is (b) The equation is Choose Choose Linear Nonlinear Submit answer
Transcribed Image Text:Determine the order of the given differential equation and state whether the equation is linear or nonlinear. dy d'y + (cos t)y = t dt dt6 (a) The order of this differential equation is (b) The equation is Choose Choose Linear Nonlinear Submit answer
Expert Solution
Step 1

Definition: The order of differential equation is order of the highest derivative term in the equation.

The given differential equation is:

tdydy+d6ydt6+cos2 ty=t4

The highest derivative term in the equation is:

d6ydt6

The order of the derivative d6ydt6 is 6.

Hence, the order of the differential equation is:

6

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