Solution Found!
(a) Use the family in to find a solution of that satisfies
Chapter 4, Problem 11E(choose chapter or problem)
(a) Use the family in Problem 1 to find a solution of \(y^{\prime \prime}-y=0\) that satisfies the boundary conditions y(0 = 0, y(1) = 1.
(b) The DE in part (a) has the alternative general solution \(y=c_{3} \cosh x+c_{4} \sinh x \text { on }(-\infty,)\). Use this family to find a solution that satisfies the boundary conditions in part (a).
(c) Show that the solutions in parts (a) and (b) are equivalent
Text Transcription:
y^prime prime - y = 0
y = c_3 cosh x + c_4 sinh x on -infty
Questions & Answers
QUESTION:
(a) Use the family in Problem 1 to find a solution of \(y^{\prime \prime}-y=0\) that satisfies the boundary conditions y(0 = 0, y(1) = 1.
(b) The DE in part (a) has the alternative general solution \(y=c_{3} \cosh x+c_{4} \sinh x \text { on }(-\infty,)\). Use this family to find a solution that satisfies the boundary conditions in part (a).
(c) Show that the solutions in parts (a) and (b) are equivalent
Text Transcription:
y^prime prime - y = 0
y = c_3 cosh x + c_4 sinh x on -infty
ANSWER:Step 1 of 4
In this problem we need to find the solution of the given differential equation. And also we need to solve different parts of the question.