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dy 1. Write down the formula for the general solution to + P(x)y = Q(x) , where y(a) is known. dx

dy 1. Write down the formula for the general solution to + P(x)y = Q(x) , where y(a) is known. dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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dy 1. Write down the formula for the general solution to dx ·+ P(x)y = Q(x) , where y(a) is known. 2. The answer to problem #1 is the formula for the solution to a first-order, linear differential equation. Does a formula necessarily exist for the solution of an arbitrary differential equation d³y (e.g. + csc(x) dr23 23 + sin(y(x)) = V1-x² ) ?(Y/N) dx
Transcribed Image Text:dy 1. Write down the formula for the general solution to dx ·+ P(x)y = Q(x) , where y(a) is known. 2. The answer to problem #1 is the formula for the solution to a first-order, linear differential equation. Does a formula necessarily exist for the solution of an arbitrary differential equation d³y (e.g. + csc(x) dr23 23 + sin(y(x)) = V1-x² ) ?(Y/N) dx
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