Solve the initial-value equation. t dy/dt+7y=t^7, t>0, y(1)=0

wijii4

wijii4

Answered question

2022-09-23

Solve the initial-value equation.
t d y d t + 7 y = t 7 ,   t > 0 ,   y ( 1 ) = 0

Answer & Explanation

Carina Moon

Carina Moon

Beginner2022-09-24Added 6 answers

t d y d t + 7 y = t 7 ,   t > 0 ,   y ( 1 ) = 0 d y d t + ( 7 t ) y = t 6 = e 7 ln ( t ) = t 7 y t 7 = t 6 t 7 d t y t 7 = t 14 14 + c y = t 7 14 t 7 14 y = t 7 t 7 14

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?