The following initial value problem is defined with an exact differential equation. If the solution of this problem satisfies y(1)=βy(1)=β, evaluate 5β2−6β+α5β2−6β+α]. {(10xy2+αx2y)dx+(10y−6x)x2dy=0 ,y(−1)=1.{(10xy2+αx2y)dx+(10y−6x)x2dy=0 ,y(−1)=1.
The following initial value problem is defined with an exact differential equation. If the solution of this problem satisfies y(1)=βy(1)=β, evaluate 5β2−6β+α5β2−6β+α]. {(10xy2+αx2y)dx+(10y−6x)x2dy=0 ,y(−1)=1.{(10xy2+αx2y)dx+(10y−6x)x2dy=0 ,y(−1)=1.
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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The following initial value problem is defined with an exact differential equation. If the solution of this problem satisfies y(1)=βy(1)=β, evaluate 5β2−6β+α5β2−6β+α].
{(10xy2+αx2y)dx+(10y−6x)x2dy=0
,y(−1)=1.{(10xy2+αx2y)dx+(10y−6x)x2dy=0
,y(−1)=1.
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