Question

Notify Me Bookmark

Find a solution of the first order IVP consisting of this differential equation and the given initial condition. x(pi/2) = 0 and x'(pi/2) = 1. In this problem x = c1cos(t) + c2sin(t) is a two parameter family of solutions of the second-order DE x'' + x = 0.

Find a solution of the first order IVP consisting of this differential equation and the given initial condition. x(pi/2) = 0 and x'(pi/2) = 1. In this problem x = c1cos(t) + c2sin(t) is a two parameter family of solutions of the second-order DE x'' + x = 0.

Image text
Find a solution of the first order IVP consisting of this differential equation and the given initial condition. x(pi/2) = 0 and x'(pi/2) = 1. In this problem x = c1cos(t) + c2sin(t) is a two parameter family of solutions of the second-order DE x'' + x = 0.

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Answer
Doubtrix Logo

This Problem has been solved!

You'll get a detailed, step-by-step and expert verified solution.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Login Sign Up

Similar/Related Questions

In this problem x = c1cos(t) + c2sin(t) is a two parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. x(0) = -1 and x'(0) = 3
Solution
0 0

In this problem, x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. x(0) = -1 and x'(0) = 9.
Solution
1 0

Find a solution of the second-order IVP consisting of this differential equation and the given initial condition. In this problem, y = c1e^x + c2e^-x is a two parameter family of solutions of the second order differential equations y'' - y = 0. Find a solution of the first order IVP consisting of this differential equation and the given initial condition. y(1) = 0, y'(1) = e.
Solution
0 0