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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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