Ty’+2y = 4t-8t2+7 Then find the particular solution that satisfies the initial value y(1)=5.3   μ(t)= General Solution:  Particular Solution:

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the integrating factor and use it to find the general solution for the following differential equation:

Ty’+2y = 4t-8t2+7

Then find the particular solution that satisfies the initial value y(1)=5.3

 

μ(t)=
General Solution: 
Particular Solution: 

Expert Solution
Step 1

The given differential equation is-

                 ty'+2y=4t-8t2+7

Therefore y'+(2y/t)=(4t-8t2+7)/tAdvanced Math homework question answer, step 1, image 1

 

 

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