boopiee8241 boopiee8241
  • 13-10-2017
  • Mathematics
contestada

Find the solution of the given initial value problem y'+2/ty=cost/t^2

Respuesta :

LammettHash
LammettHash LammettHash
  • 13-10-2017
[tex]y'+\dfrac2ty=\dfrac{\cos t}{t^2}[/tex]
[tex]t^2y'+2ty=\cos t[/tex]
[tex](t^2y)'=\cos t[/tex]
[tex]t^2y=\sin t+C[/tex]
[tex]y=\dfrac{\sin t+C}{t^2}[/tex]
Answer Link

Otras preguntas

Solve 4(x + 1) = 4x + 4. Would it be No solution? Or all real numbers?
Find the slope of the line 3x – 2y = 6
Simplify using positive exponents a^4b^-3/ab^-2
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n
If the dimensions of a parallelogram are doubled, the perimeter will also be doubled. True False
What is the infinitive in the sentence above Ingrid begged her friend to bring the latest Snow Fray CD to the party on Friday night.
A system of equations is shown below: n = 3m + 6 n − 2m = 2 What is the solution, in the form (m, n), to the system of equations? (−4, −6) (−5, −9) (2, 6) (1, 8
what is production possibility curve?
What is a false productivity
How would you turn "a computer technician charges $75 for a consultation plus $35 per hour" in slope intercept form?