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=rential equation is one of the form dy dx or 1, the Bernoulli equation is linear. For other values of n, the ransforms the Bernoulli equation into the linear equation du dx + P(x)y = Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). stitution to solve the equation (3/2)/65 6 y' - - y = x satisfies y(1) = 1. y5 x 19

=rential equation is one of the form dy dx or 1, the Bernoulli equation is linear. For other values of n, the ransforms the Bernoulli equation into the linear equation du dx + P(x)y = Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). stitution to solve the equation (3/2)/65 6 y' - - y = x satisfies y(1) = 1. y5 x 19

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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3 .) A Bernoulli differential equation is one of the form dy dx Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution = y¹ -12 transforms the Bernoulli equation into the linear equation du dx + P(x)y= Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). Use an appropriate substitution to solve the equation (66x)^18+66x^(3/2)/65 and find the solution that satisfies y(1) = 1. y(x) = 6 x - y5 x 19 2
Transcribed Image Text:3 .) A Bernoulli differential equation is one of the form dy dx Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution = y¹ -12 transforms the Bernoulli equation into the linear equation du dx + P(x)y= Q(x)y". + (1 − n)P(x)u = (1 − n)Q(x). Use an appropriate substitution to solve the equation (66x)^18+66x^(3/2)/65 and find the solution that satisfies y(1) = 1. y(x) = 6 x - y5 x 19 2
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