ZuoTi.Pro
Question

Find the solution y of the initial value problem 3(t) = 2 (3(t). y(1) = 0, y (1) = 1. +3 g(t) = MSolve the initial value problem g(t) g” (t) + 50g (+)? = 0, y(0) = 1, y(0) = 7. g(t) = ΣUse the reduction order method to find a second solution ya to the differential equation ty + 12ty +28 y = 0. knowing that(10 points) Use the reduction order method to find a second solution 72 vy, to the differential equation (0 - 1) y – 2y + y

math   Advanced-Math   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

읔 (4) + 3 이 dly (A)) 디를 8 12. :) (st) 아디 외 여 네 가 t가 Since e to( y (1) = 1 띄 920 0 yl (A) = yet) a st217 dt 이 리 y (A) 4917 도

All the question independent to each other so we are instructed to solve only first question

0 0
Add a comment
Know the answer?
Add Answer to:
Find the solution y of the initial value problem 3"(t) = 2 (3(t). y(1) = 0,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Consider the differential equation y" – 7y + 12 y = 0. (a) Find r1, 72,...

    Consider the differential equation y" – 7y + 12 y = 0. (a) Find r1, 72, roots of the characteristic polynomial of the equation above. 11,2 M (b) Find a set of real-valued fundamental solutions to the differential equation above. yı(t) M y2(t) M (C) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = -4, y'(0) = 1. g(t) = M Consider the differential equation y" – 64 +9y=0. (a) Find r1...

  • Consider the differential equation: -9ty" – 6t(t – 3)y' + 6(t – 3)y=0, t> 0. a....

    Consider the differential equation: -9ty" – 6t(t – 3)y' + 6(t – 3)y=0, t> 0. a. Given that yı(t) = 3t is a solution, apply the reduction of order method to find another solution y2 for which yı and y2 form a fundamental solution set. i. Starting with yi, solve for w in yıw' + (2y + p(t)yı)w = 0 so that w(1) = -3. w(t) = ii. Now solve for u where u = w so that u(1) =...

  • (16 pts) Given boundary value problem (1 - 2)y" + 2xy' = 1 y(0) = 0,...

    (16 pts) Given boundary value problem (1 - 2)y" + 2xy' = 1 y(0) = 0, y'(1) = 0 (a) (6 pts) yı = 1 is a solution to homogeneous equation (1 – 22)y" + 2xy' = 0, find a second solution y2 by reduction of order method. (b) (6 pts) Find Green's function G (1, t) of the BVP. (c) (4 pts) Find a solution of the BVP using G (2,t).

  • Consider the differential equation y" + 8y' + 15 y=0. (a) Find r1 r2, roots of...

    Consider the differential equation y" + 8y' + 15 y=0. (a) Find r1 r2, roots of the characteristic polynomial of the equation above. = 11, 12 M (b) Find a set of real-valued fundamental solutions to the differential equation above. yı(t) M y2(t) M (C) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = 4, y(0) = -3. g(t) = M (10 points) Solve the initial value problem y" - 54' +...

  • (1 point) Consider the logistic equation y = y(1 - y) (a) Find the solution satisfying...

    (1 point) Consider the logistic equation y = y(1 - y) (a) Find the solution satisfying y(0) = 8 and yz (0) = -4. yı(t) = y2(t) (b) Find the time t when yı(t) = 4. t (c) When does yz(t) become infinite?

  • (1 point) Consider the initial value problem -2 j' = [ y, y(0) +3] 0 -2...

    (1 point) Consider the initial value problem -2 j' = [ y, y(0) +3] 0 -2 a. Find the eigenvalue 1, an eigenvector 1, and a generalized eigenvector ū2 for the coefficient matrix of this linear system. = --1 V2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. g(t) = C1 + C2 c. Solve the original initial value problem. yı(t) = y2(t) ==

  • The indicated function yı() is a solution of the given differential equation. Use reduction of order...

    The indicated function yı() is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, Y2 = vy() / e-SP(x) dx dx (5) y?(x) as instructed, to find a second solution y2(x). x?y" + 2xy' – 6y = 0; Y1 = x2 Y2 The indicated function yı(x) is a solution of the given differential equation. 6y" + y' - y = 0; Y1 Fet/3 Use reduction of order or formula (5) in Section...

  • Consider the differential equation e24 y" – 4y +4y= t> 0. t2 (a) Find T1, T2,...

    Consider the differential equation e24 y" – 4y +4y= t> 0. t2 (a) Find T1, T2, roots of the characteristic polynomial of the equation above. 11,12 M (b) Find a set of real-valued fundamental solutions to the homogeneous differential equation corresponding to the one above. yı(t) M y2(t) = M (C) Find the Wronskian of the fundamental solutions you found in part (b). W(t) M (d) Use the fundamental solutions you found in (b) to find functions ui and Usuch...

  • 2. Consider the differential equation ty" – (t+1)y' +y = 2t2 t>0. (a) Check that yı...

    2. Consider the differential equation ty" – (t+1)y' +y = 2t2 t>0. (a) Check that yı = et and y2 = t+1 are a fundamental set of solutions to the associated homogeneous equation. (b) Find a particular solution using variation of parameters.

  • Given that yı(x) = r-1 is a solution of 2c?y" + 3ry - y=0. Find a...

    Given that yı(x) = r-1 is a solution of 2c?y" + 3ry - y=0. Find a second solution of the given equation by using the method of reduction of order. O y2(:-) = O 42(:) = 1-1/2 O 42(x)=1/2 O y2(x) = 73/2 Oy2(r) =

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT