Explain why or why not Determine whether the following statements

killjoy1990xb9

killjoy1990xb9

Answered question

2022-01-21

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.
1. The function y=t+1t, for t > 0, satisfies the initial value problem ty'+y=2t, y(1)=2.

Answer & Explanation

Mollie Nash

Mollie Nash

Beginner2022-01-21Added 33 answers

The initial value problem is ty+y=2t,
chumants6g

chumants6g

Beginner2022-01-22Added 33 answers

Substitute the values,
2=1+c1
  C=1
Put this value in the solution,
y=t+1t
The solution of the given differential equation is y=t+1t.
Therefore, the given statement is TRUE.

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