Given that the formula for dy/dx + P(x)y = Q(x), where y(a) is known is a first-order, linear differential equation. Does a formula necessarily exist for the solution of an arbitrary differential equation (e.g. d^23y/dx^23 + csc(x)(d^5y/dx^5)^7 + sin(y(x)) = sq rt(1-x²) ) ?(Y/N)
Given that the formula for dy/dx + P(x)y = Q(x), where y(a) is known is a first-order, linear differential equation. Does a formula necessarily exist for the solution of an arbitrary differential equation (e.g. d^23y/dx^23 + csc(x)(d^5y/dx^5)^7 + sin(y(x)) = sq rt(1-x²) ) ?(Y/N)
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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Given that the formula for dy/dx + P(x)y = Q(x), where y(a) is known is a first-order, linear differential equation. Does a formula necessarily exist for the solution of an arbitrary differential equation (e.g. d^23y/dx^23 + csc(x)(d^5y/dx^5)^7 + sin(y(x)) = sq rt(1-x²) ) ?(Y/N)
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