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Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that satisfies y(1) = 1. %3D y(z) =

Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that satisfies y(1) = 1. %3D y(z) =

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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A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y". da Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = y! n transforms the Bernoulli equation into the linear equation du + (1 — п)P(а)и — (1- п)Q(»). de Use an appropriate substitution to solve the equation 9 -U= r13 and find the solution that satisfies y(1) = 1. y(x) =
Transcribed Image Text:A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y". da Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = y! n transforms the Bernoulli equation into the linear equation du + (1 — п)P(а)и — (1- п)Q(»). de Use an appropriate substitution to solve the equation 9 -U= r13 and find the solution that satisfies y(1) = 1. y(x) =
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