Find the general solution of the following equation. y '(t) = 3y - 4

allhvasstH

allhvasstH

Answered question

2021-09-25

Find the general solution of the following equation.
y(t)=3y4

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2021-09-26Added 85 answers

Step 1:Given
y(t)=3y4
Step 2:Solution
y(t)=3y4
dydt=3y4
Integrating both sides
dy3y4=dt
13ln(|3y4|)=t+C
3y4=e3t+3C
3y=e3t+3C+4
y=13(Ce3t+4)
Answer: y=13(Ce3t+4)

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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