Problem 2 neededNeeded to be solved this question correctly in 1 hour and get the thumbs up please show neat and clean work for it by hand solution neededKindly do this question ? percent Efficient Problem 1.Let us denote by y₁ (t) and y2(t), 2 solutions of the equationy" +p(t)y' + q(t)y = 0, with p, q continuousDeterminedW (y₁, y2) (t)dtas a function of W(y1, y2) (t), where W(y₁, y2) is the Wronskian of y₁ and y2 (we do notrequire/need the explicit computation of y₁ and y₂).Problem 2.a) If y₁ is a known nonvanishing solution to y" + p(t)y' + q(t)y = 0, show that a secondsolution y2 satisfics (y2/y₁)' = W(y₁, y2)/yi, where W (y₁, y2) is the Wronskian of Y1 and Y2.Then use Problem 1, to determine y2 (as a function of y₁).b) Check that y₁ (t) = t¹ is a solution to t²y" +3ty' + y = 0 (t > 0). Find a second solution,linearly independent to y₁.

Note : Here student wants to get solutions of the problem 2 only . So i solved only all parts of…

Problem 2. a) If y₁ is a known nonvanishing solution to y" +p(t)y' + q(t)y = 0, show that a second solution y2 satisfies (y2/91)' = W(y1, 92)/y, where W(y1, 92) is the Wronskian of Yı and Y2. Then use Problem 1, to determine y2 (as a function of y₁). b) Check that y₁ (t) = t¹ is a solution to t²y" + 3ty' + y = 0 (t > 0). Find a second solution, linearly independent to y₁.

Problem 2. a) If y₁ is a known nonvanishing solution to y" +p(t)y' + q(t)y = 0, show that a second solution y2 satisfies (y2/91)' = W(y1, 92)/y, where W(y1, 92) is the Wronskian of Yı and Y2. Then use Problem 1, to determine y2 (as a function of y₁). b) Check that y₁ (t) = t¹ is a solution to t²y" + 3ty' + y = 0 (t > 0). Find a second solution, linearly independent to y₁.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

how do I do this problem? Please answer all part of the question and show all work and steps so I am able to easily understand it.
Please solve correctly in 30 minutes and get the thumbs up please show neat and clean work for it
Q9 Needed to be solved correctly in 30 minutes and get the thumbs up please show neat and clean work
Please solve all parts correctly in 20 minutes and get thumbs up please show neat and clean work
Part B needed please Kindly solve in 20 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed Kindly solve ASAP in the order to get positive feedback with hundred percent efficiency
Kindly solve firts three parts correctly in the order to get positive feedback
Needed to solve correctly In 1 hour and get the thumbs up please show neat and clean work
Q3 Needed to be solved correctly in 15 minutes in the order to get positive feedback please show me neat and clean work Hundred percent efficiency needed
Can someone please show me step by step how to solve this exercise
Needed to be solved whole question correctly in 3 hour and get the thumbs up please show neat and clean work . By hand solution needed
Hello, Can you help me understand this problem? I have included the answer and can you give me in great detail how these were completed. I also included the answers